396159150441600 has 2304 divisors, whose sum is σ = 1818684130099200. Its totient is φ = 79863725260800.

The previous prime is 396159150441583. The next prime is 396159150441643. The reversal of 396159150441600 is 6144051951693.

396159150441600 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 5 + 91 + 50 + 441 + 60 + 0 = 666.

It is a super-2 number, since 2×396159150441600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6418308339 + ... + 6418370061.

Almost surely, 2^{396159150441600} is an apocalyptic number.

396159150441600 is a gapful number since it is divisible by the number (30) 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 396159150441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909342065049600).

396159150441600 is an abundant number, since it is smaller than the sum of its proper divisors (1422524979657600).

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

396159150441600 is a wasteful number, since it uses less digits than its factorization.

396159150441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61883 (or 61863 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 396159150441600 in words is "three hundred ninety-six trillion, one hundred fifty-nine billion, one hundred fifty million, four hundred forty-one thousand, six hundred".