42668417900520 has 96 divisors (see below), whose sum is σ = 138704923000800. Its totient is φ = 11375572788096.

The previous prime is 42668417900519. The next prime is 42668417900573. The reversal of 42668417900520 is 2500971486624.

42668417900520 is a `hidden beast` number, since 4 + 2 + 6 + 6 + 8 + 41 + 79 + 0 + 0 + 520 = 666.

It is a super-2 number, since 2×42668417900520² (a number of 28 digits) contains 22 as substring.

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, 12381222 + ... + 15447701.

It is an arithmetic number, because the mean of its divisors is an integer number (1444842947925).

Almost surely, 2^{42668417900520} is an apocalyptic number.

42668417900520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42668417900520 is an abundant number, since it is smaller than the sum of its proper divisors (96036505100280).

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

42668417900520 is a wasteful number, since it uses less digits than its factorization.

42668417900520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27833199 (or 27833192 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 42668417900520 in words is "forty-two trillion, six hundred sixty-eight billion, four hundred seventeen million, nine hundred thousand, five hundred twenty".