42402400420424 has 32 divisors (see below), whose sum is σ = 86740100337600. Its totient is φ = 19272058893120.

The previous prime is 42402400420411. The next prime is 42402400420433.

42402400420424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42402400420424² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21023804 + ... + 22952235.

It is an arithmetic number, because the mean of its divisors is an integer number (2710628135550).

Almost surely, 2^{42402400420424} is an apocalyptic number.

42402400420424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42402400420424 is an abundant number, since it is smaller than the sum of its proper divisors (44337699917176).

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

42402400420424 is a wasteful number, since it uses less digits than its factorization.

42402400420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43987013 (or 43987009 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 42402400 and 420424, that added together give a palindrome (42822824).

The spelling of 42402400420424 in words is "forty-two trillion, four hundred two billion, four hundred million, four hundred twenty thousand, four hundred twenty-four".