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4009840128000 = 2123253734359
BaseRepresentation
bin111010010110011101000…
…110001011000000000000
3112012100002122121222220100
4322112131012023000000
51011144123033044000
612310032314042400
7562462401501000
oct72263506130000
915170078558810
104009840128000
111306622241463
12549173419400
1323118463b795
14dc112168000
156e489cd8a00
hex3a59d18b000

4009840128000 has 2496 divisors, whose sum is σ = 17541583488000. Its totient is φ = 880046899200.

The previous prime is 4009840127999. The next prime is 4009840128001. The reversal of 4009840128000 is 8210489004.

4009840128000 is a `hidden beast` number, since 400 + 98 + 40 + 128 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4009840127999) and next prime (4009840128001).

It is a super-3 number, since 3×40098401280003 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009840128001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67963391971 + ... + 67963392029.

It is an arithmetic number, because the mean of its divisors is an integer number (7027878000).

Almost surely, 24009840128000 is an apocalyptic number.

4009840128000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4009840128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770791744000).

4009840128000 is an abundant number, since it is smaller than the sum of its proper divisors (13531743360000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4009840128000 is an equidigital number, since it uses as much as digits as its factorization.

4009840128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 4009840128000 in words is "four trillion, nine billion, eight hundred forty million, one hundred twenty-eight thousand".