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40002387840 = 27365831033
BaseRepresentation
bin100101010000010100…
…111111111110000000
310211020211112212000000
4211100110333332000
51123411102402330
630213222000000
72614203454302
oct452024777600
9124224485000
1040002387840
1115a6833a068
127904876000
133a0670a39c
141d16a2d972
151091d09560
hex95053ff80

40002387840 has 448 divisors, whose sum is σ = 145248420240. Its totient is φ = 10528579584.

The previous prime is 40002387839. The next prime is 40002387851. The reversal of 40002387840 is 4878320004.

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

It is a junction number, because it is equal to n+sod(n) for n = 40002387795 and 40002387804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 38723964 + ... + 38724996.

Almost surely, 240002387840 is an apocalyptic number.

40002387840 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 40002387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72624210120).

40002387840 is an abundant number, since it is smaller than the sum of its proper divisors (105246032400).

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

40002387840 is an equidigital number, since it uses as much as digits as its factorization.

40002387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40002387840 in words is "forty billion, two million, three hundred eighty-seven thousand, eight hundred forty".