42277288277224 has 144 divisors (see below), whose sum is σ = 108928149174720. Its totient is φ = 15204618898560.

The previous prime is 42277288277207. The next prime is 42277288277321.

42277288277224 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28278864 + ... + 29736319.

It is an arithmetic number, because the mean of its divisors is an integer number (756445480380).

Almost surely, 2^{42277288277224} is an apocalyptic number.

42277288277224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42277288277224 is an abundant number, since it is smaller than the sum of its proper divisors (66650860897496).

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

42277288277224 is a wasteful number, since it uses less digits than its factorization.

42277288277224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58015240 (or 58015216 counting only the distinct ones).

The product of its digits is 157351936, while the sum is 64.

The spelling of 42277288277224 in words is "forty-two trillion, two hundred seventy-seven billion, two hundred eighty-eight million, two hundred seventy-seven thousand, two hundred twenty-four".