42538294800 has 120 divisors (see below), whose sum is σ = 151404858080. Its totient is φ = 11343542400.

The previous prime is 42538294793. The next prime is 42538294801. The reversal of 42538294800 is 849283524.

42538294800 is a `hidden beast` number, since 42 + 53 + 82 + 9 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (42538294801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1958566 + ... + 1980165.

Almost surely, 2^42538294800 is an apocalyptic number.

42538294800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42538294800 is an abundant number, since it is smaller than the sum of its proper divisors (108866563280).

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

42538294800 is a wasteful number, since it uses less digits than its factorization.

42538294800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938758 (or 3938741 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42538294800 in words is "forty-two billion, five hundred thirty-eight million, two hundred ninety-four thousand, eight hundred".