42053908795200 has 1680 divisors, whose sum is σ = 169429082243520. Its totient is φ = 10193791057920.

The previous prime is 42053908795183. The next prime is 42053908795271. The reversal of 42053908795200 is 259780935024.

42053908795200 is a `hidden beast` number, since 4 + 2 + 0 + 5 + 39 + 0 + 87 + 9 + 520 + 0 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6650939239 + ... + 6650945561.

Almost surely, 2^{42053908795200} is an apocalyptic number.

42053908795200 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 42053908795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84714541121760).

42053908795200 is an abundant number, since it is smaller than the sum of its proper divisors (127375173448320).

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

42053908795200 is a wasteful number, since it uses less digits than its factorization.

42053908795200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6486 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 42053908795200 in words is "forty-two trillion, fifty-three billion, nine hundred eight million, seven hundred ninety-five thousand, two hundred".