42057808853400 has 288 divisors, whose sum is σ = 149689639227600. Its totient is φ = 10853626752000.

The previous prime is 42057808853317. The next prime is 42057808853443. The reversal of 42057808853400 is 435880875024.

42057808853400 is a `hidden beast` number, since 4 + 20 + 5 + 7 + 8 + 0 + 88 + 534 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1137120 + ... + 9241680.

Almost surely, 2^{42057808853400} is an apocalyptic number.

42057808853400 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 42057808853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74844819613800).

42057808853400 is an abundant number, since it is smaller than the sum of its proper divisors (107631830374200).

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

42057808853400 is a wasteful number, since it uses less digits than its factorization.

42057808853400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8104648 (or 8104602 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 42057808853400 in words is "forty-two trillion, fifty-seven billion, eight hundred eight million, eight hundred fifty-three thousand, four hundred".