42523514400 has 144 divisors (see below), whose sum is σ = 146556182304. Its totient is φ = 10672558080.

The previous prime is 42523514387. The next prime is 42523514443. The reversal of 42523514400 is 441532524.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480322 + ... + 561921.

It is an arithmetic number, because the mean of its divisors is an integer number (1017751266).

Almost surely, 2^42523514400 is an apocalyptic number.

42523514400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42523514400 is an abundant number, since it is smaller than the sum of its proper divisors (104032667904).

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

42523514400 is a wasteful number, since it uses less digits than its factorization.

42523514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042283 (or 1042270 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 42523514400 in words is "forty-two billion, five hundred twenty-three million, five hundred fourteen thousand, four hundred".