4056938107200 has 504 divisors, whose sum is σ = 16237607083776. Its totient is φ = 951773184000.

The previous prime is 4056938107151. The next prime is 4056938107213. The reversal of 4056938107200 is 27018396504.

4056938107200 is a `hidden beast` number, since 4 + 0 + 5 + 69 + 381 + 0 + 7 + 200 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4497304 + ... + 5323496.

It is a 1-persistent number, because it is pandigital, but 2⋅4056938107200 = 8113876214400 is not.

Almost surely, 2^{4056938107200} is an apocalyptic number.

4056938107200 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 4056938107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8118803541888).

4056938107200 is an abundant number, since it is smaller than the sum of its proper divisors (12180668976576).

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

4056938107200 is a wasteful number, since it uses less digits than its factorization.

4056938107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826263 (or 826245 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4056938107200 in words is "four trillion, fifty-six billion, nine hundred thirty-eight million, one hundred seven thousand, two hundred".