42344466444324 has 96 divisors (see below), whose sum is σ = 119838952396800. Its totient is φ = 12823425240480.

The previous prime is 42344466444317. The next prime is 42344466444437.

It is a happy number.

42344466444324 is a `hidden beast` number, since 4 + 234 + 4 + 46 + 6 + 4 + 44 + 324 = 666.

42344466444324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 9579432 + ... + 13283615.

It is an arithmetic number, because the mean of its divisors is an integer number (1248322420800).

Almost surely, 2^{42344466444324} is an apocalyptic number.

42344466444324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42344466444324 is an abundant number, since it is smaller than the sum of its proper divisors (77494485952476).

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

42344466444324 is a wasteful number, since it uses less digits than its factorization.

42344466444324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22864630 (or 22864622 counting only the distinct ones).

The product of its digits is 84934656, while the sum is 54.

The spelling of 42344466444324 in words is "forty-two trillion, three hundred forty-four billion, four hundred sixty-six million, four hundred forty-four thousand, three hundred twenty-four".