42517476720 has 120 divisors (see below), whose sum is σ = 148076366256. Its totient is φ = 11337988608.

The previous prime is 42517476709. The next prime is 42517476763. The reversal of 42517476720 is 2767471524.

42517476720 is a `hidden beast` number, since 42 + 517 + 4 + 76 + 7 + 20 = 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 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 23 ways as a sum of consecutive naturals, for example, 1074117 + ... + 1112996.

Almost surely, 2^42517476720 is an apocalyptic number.

42517476720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42517476720 is an abundant number, since it is smaller than the sum of its proper divisors (105558889536).

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

42517476720 is a wasteful number, since it uses less digits than its factorization.

42517476720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187141 (or 2187123 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 42517476720 in words is "forty-two billion, five hundred seventeen million, four hundred seventy-six thousand, seven hundred twenty".