42679042560000 has 3900 divisors, whose sum is σ = 200957761506656. Its totient is φ = 8868372480000.

The previous prime is 42679042559983. The next prime is 42679042560017. The reversal of 42679042560000 is 6524097624.

42679042560000 is a `hidden beast` number, since 42 + 6 + 7 + 9 + 0 + 42 + 560 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42679042559983) and next prime (42679042560017).

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 polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 3879912959995 + ... + 3879912960005.

Almost surely, 2^{42679042560000} is an apocalyptic number.

42679042560000 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 42679042560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100478880753328).

42679042560000 is an abundant number, since it is smaller than the sum of its proper divisors (158278718946656).

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

42679042560000 is an frugal number, since it uses more digits than its factorization.

42679042560000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 42679042560000 in words is "forty-two trillion, six hundred seventy-nine billion, forty-two million, five hundred sixty thousand".