42676777072100 has 108 divisors (see below), whose sum is σ = 98397435494400. Its totient is φ = 16063151270400.

The previous prime is 42676777072093. The next prime is 42676777072109. The reversal of 42676777072100 is 127077767624.

It is not an unprimeable number, because it can be changed into a prime (42676777072109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138537245 + ... + 138844955.

Almost surely, 2^{42676777072100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42676777072100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49198717747200).

42676777072100 is an abundant number, since it is smaller than the sum of its proper divisors (55720658422300).

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

42676777072100 is a wasteful number, since it uses less digits than its factorization.

42676777072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312558 (or 312534 counting only the distinct ones).

The product of its (nonzero) digits is 9680832, while the sum is 56.

The spelling of 42676777072100 in words is "forty-two trillion, six hundred seventy-six billion, seven hundred seventy-seven million, seventy-two thousand, one hundred".