38412228400056 has 192 divisors, whose sum is σ = 125319800686080. Its totient is φ = 10795005406080.

The previous prime is 38412228399977. The next prime is 38412228400061. The reversal of 38412228400056 is 65000482221483.

38412228400056 is a `hidden beast` number, since 3 + 8 + 4 + 12 + 228 + 400 + 0 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38412228399984 and 38412228400020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22307356 + ... + 23967531.

It is an arithmetic number, because the mean of its divisors is an integer number (652707295240).

Almost surely, 2^{38412228400056} is an apocalyptic number.

38412228400056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38412228400056 is an abundant number, since it is smaller than the sum of its proper divisors (86907572286024).

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

38412228400056 is a wasteful number, since it uses less digits than its factorization.

38412228400056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46274976 (or 46274960 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 38412228400056 in words is "thirty-eight trillion, four hundred twelve billion, two hundred twenty-eight million, four hundred thousand, fifty-six".