42642177124624 has 320 divisors, whose sum is σ = 109608479465472. Its totient is φ = 15558720307200.

The previous prime is 42642177124609. The next prime is 42642177124649.

42642177124624 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11941240759 + ... + 11941244329.

Almost surely, 2^{42642177124624} is an apocalyptic number.

42642177124624 is a gapful number since it is divisible by the number (44) 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 42642177124624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54804239732736).

42642177124624 is an abundant number, since it is smaller than the sum of its proper divisors (66966302340848).

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

42642177124624 is a wasteful number, since it uses less digits than its factorization.

42642177124624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6294 (or 6288 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 52.

The spelling of 42642177124624 in words is "forty-two trillion, six hundred forty-two billion, one hundred seventy-seven million, one hundred twenty-four thousand, six hundred twenty-four".