4156504934400 has 4608 divisors, whose sum is σ = 20746672128000. Its totient is φ = 791166320640.

The previous prime is 4156504934377. The next prime is 4156504934429. The reversal of 4156504934400 is 44394056514.

4156504934400 is a `hidden beast` number, since 4 + 1 + 56 + 504 + 93 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 88436275177 + ... + 88436275223.

It is an arithmetic number, because the mean of its divisors is an integer number (4502316000).

Almost surely, 2^{4156504934400} is an apocalyptic number.

4156504934400 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 4156504934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064000).

4156504934400 is an abundant number, since it is smaller than the sum of its proper divisors (16590167193600).

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

4156504934400 is a wasteful number, since it uses less digits than its factorization.

4156504934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 4156504934400 in words is "four trillion, one hundred fifty-six billion, five hundred four million, nine hundred thirty-four thousand, four hundred".