42611476945800 has 192 divisors, whose sum is σ = 159846750760320. Its totient is φ = 9166838722560.

The previous prime is 42611476945789. The next prime is 42611476945823. The reversal of 42611476945800 is 854967411624.

It is a super-2 number, since 2×42611476945800² (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 47 ways as a sum of consecutive naturals, for example, 298328299 + ... + 298471098.

It is an arithmetic number, because the mean of its divisors is an integer number (832535160210).

Almost surely, 2^{42611476945800} is an apocalyptic number.

42611476945800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42611476945800 is an abundant number, since it is smaller than the sum of its proper divisors (117235273814520).

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

42611476945800 is a wasteful number, since it uses less digits than its factorization.

42611476945800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596799440 (or 596799431 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 42611476945800 in words is "forty-two trillion, six hundred eleven billion, four hundred seventy-six million, nine hundred forty-five thousand, eight hundred".