156400332884400 has 480 divisors, whose sum is σ = 575549241062400. Its totient is φ = 35904991564800.

The previous prime is 156400332884357. The next prime is 156400332884407. The reversal of 156400332884400 is 4488233004651.

It is a super-2 number, since 2×156400332884400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 156400332884400.

It is not an unprimeable number, because it can be changed into a prime (156400332884407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 618597211 + ... + 618849989.

It is an arithmetic number, because the mean of its divisors is an integer number (1199060918880).

Almost surely, 2^{156400332884400} is an apocalyptic number.

156400332884400 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 156400332884400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287774620531200).

156400332884400 is an abundant number, since it is smaller than the sum of its proper divisors (419148908178000).

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

156400332884400 is a wasteful number, since it uses less digits than its factorization.

156400332884400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255297 (or 255286 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 156400332884400 in words is "one hundred fifty-six trillion, four hundred billion, three hundred thirty-two million, eight hundred eighty-four thousand, four hundred".