42009388390024 has 64 divisors (see below), whose sum is σ = 89706856536000. Its totient is φ = 18267577816320.

The previous prime is 42009388390007. The next prime is 42009388390159.

42009388390024 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75232654 + ... + 75788989.

It is an arithmetic number, because the mean of its divisors is an integer number (1401669633375).

Almost surely, 2^{42009388390024} is an apocalyptic number.

42009388390024 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42009388390024 is an abundant number, since it is smaller than the sum of its proper divisors (47697468145976).

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

42009388390024 is a wasteful number, since it uses less digits than its factorization.

42009388390024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151021798 (or 151021794 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 42009388390024 in words is "forty-two trillion, nine billion, three hundred eighty-eight million, three hundred ninety thousand, twenty-four".