42736466400 has 72 divisors (see below), whose sum is σ = 139107205944. Its totient is φ = 11396390400.

The previous prime is 42736466309. The next prime is 42736466429. The reversal of 42736466400 is 466463724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8901031 + ... + 8905830.

It is an arithmetic number, because the mean of its divisors is an integer number (1932044527).

Almost surely, 2^42736466400 is an apocalyptic number.

42736466400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42736466400 is an abundant number, since it is smaller than the sum of its proper divisors (96370739544).

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

42736466400 is a wasteful number, since it uses less digits than its factorization.

42736466400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17806884 (or 17806871 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 42.

The spelling of 42736466400 in words is "forty-two billion, seven hundred thirty-six million, four hundred sixty-six thousand, four hundred".