156479014400 has 240 divisors, whose sum is σ = 409287978000. Its totient is φ = 59123957760.

The previous prime is 156479014379. The next prime is 156479014423. The reversal of 156479014400 is 4410974651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109196084 + ... + 109197516.

It is an arithmetic number, because the mean of its divisors is an integer number (1705366575).

Almost surely, 2^156479014400 is an apocalyptic number.

156479014400 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 156479014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204643989000).

156479014400 is an abundant number, since it is smaller than the sum of its proper divisors (252808963600).

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

156479014400 is a wasteful number, since it uses less digits than its factorization.

156479014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 156479014400 in words is "one hundred fifty-six billion, four hundred seventy-nine million, fourteen thousand, four hundred".