42368572800 has 480 divisors, whose sum is σ = 157264726080. Its totient is φ = 11232276480.

The previous prime is 42368572789. The next prime is 42368572837. The reversal of 42368572800 is 827586324.

42368572800 is a `hidden beast` number, since 4 + 2 + 368 + 5 + 7 + 280 + 0 = 666.

42368572800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×42368572800² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 57801234 + ... + 57801966.

It is an arithmetic number, because the mean of its divisors is an integer number (327634846).

Almost surely, 2^42368572800 is an apocalyptic number.

42368572800 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 42368572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78632363040).

42368572800 is an abundant number, since it is smaller than the sum of its proper divisors (114896153280).

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

42368572800 is a wasteful number, since it uses less digits than its factorization.

42368572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 42368572800 in words is "forty-two billion, three hundred sixty-eight million, five hundred seventy-two thousand, eight hundred".