42648516338400 has 576 divisors, whose sum is σ = 186649988636160. Its totient is φ = 9174806323200.

The previous prime is 42648516338381. The next prime is 42648516338431. The reversal of 42648516338400 is 483361584624.

42648516338400 is a `hidden beast` number, since 4 + 2 + 6 + 48 + 5 + 163 + 38 + 400 = 666.

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 95 ways as a sum of consecutive naturals, for example, 5725686 + ... + 10866485.

It is an arithmetic number, because the mean of its divisors is an integer number (324045119160).

Almost surely, 2^{42648516338400} is an apocalyptic number.

42648516338400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42648516338400 is an abundant number, since it is smaller than the sum of its proper divisors (144001472297760).

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

42648516338400 is a wasteful number, since it uses less digits than its factorization.

42648516338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16592224 (or 16592205 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 42648516338400 in words is "forty-two trillion, six hundred forty-eight billion, five hundred sixteen million, three hundred thirty-eight thousand, four hundred".