15849440870400 has 1224 divisors, whose sum is σ = 62752076244000. Its totient is φ = 3803562639360.

The previous prime is 15849440870381. The next prime is 15849440870411. The reversal of 15849440870400 is 407804494851.

15849440870400 is a `hidden beast` number, since 1 + 5 + 8 + 494 + 40 + 8 + 70 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1224).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5765528226 + ... + 5765530974.

Almost surely, 2^{15849440870400} is an apocalyptic number.

15849440870400 is a gapful number since it is divisible by the number (10) 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 15849440870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31376038122000).

15849440870400 is an abundant number, since it is smaller than the sum of its proper divisors (46902635373600).

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

15849440870400 is a wasteful number, since it uses less digits than its factorization.

15849440870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 15849440870400 in words is "fifteen trillion, eight hundred forty-nine billion, four hundred forty million, eight hundred seventy thousand, four hundred".