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4046985928440 = 233557213653621
BaseRepresentation
bin111010111001000011001…
…010001001111011111000
3112022212222102000011200000
4322321003022021323320
51012301211344202230
612335054253313000
7565246040545200
oct72710312117370
915285872004600
104046985928440
111320354063094
125543bb495760
13234824298060
14ddc37643400
1570410e2bb60
hex3ae43289ef8

4046985928440 has 576 divisors, whose sum is σ = 17087300062560. Its totient is φ = 853868252160.

The previous prime is 4046985928411. The next prime is 4046985928441. The reversal of 4046985928440 is 448295896404.

4046985928440 is a `hidden beast` number, since 4 + 0 + 469 + 8 + 5 + 92 + 84 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4046985928441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5864830 + ... + 6518450.

Almost surely, 24046985928440 is an apocalyptic number.

4046985928440 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 4046985928440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8543650031280).

4046985928440 is an abundant number, since it is smaller than the sum of its proper divisors (13040314134120).

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

4046985928440 is a wasteful number, since it uses less digits than its factorization.

4046985928440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653674 (or 653651 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 4046985928440 in words is "four trillion, forty-six billion, nine hundred eighty-five million, nine hundred twenty-eight thousand, four hundred forty".