42476313600 has 528 divisors, whose sum is σ = 178288787200. Its totient is φ = 9707765760.

The previous prime is 42476313599. The next prime is 42476313617. The reversal of 42476313600 is 631367424.

It is a happy number.

42476313600 is a `hidden beast` number, since 4 + 2 + 47 + 6 + 3 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4834011 + ... + 4842789.

Almost surely, 2^42476313600 is an apocalyptic number.

42476313600 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 42476313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89144393600).

42476313600 is an abundant number, since it is smaller than the sum of its proper divisors (135812473600).

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

42476313600 is a wasteful number, since it uses less digits than its factorization.

42476313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 42476313600 in words is "forty-two billion, four hundred seventy-six million, three hundred thirteen thousand, six hundred".