42212412310400 has 96 divisors (see below), whose sum is σ = 104578365071880. Its totient is φ = 16836304640000.

The previous prime is 42212412310391. The next prime is 42212412310423. The reversal of 42212412310400 is 401321421224.

It is a self number, because there is not a number n which added to its sum of digits gives 42212412310400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17897351 + ... + 20118150.

Almost surely, 2^{42212412310400} is an apocalyptic number.

42212412310400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42212412310400 is an abundant number, since it is smaller than the sum of its proper divisors (62365952761480).

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

42212412310400 is a wasteful number, since it uses less digits than its factorization.

42212412310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38015872 (or 38015855 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 42212412310400 its reverse (401321421224), we get a palindrome (42613733731624).

The spelling of 42212412310400 in words is "forty-two trillion, two hundred twelve billion, four hundred twelve million, three hundred ten thousand, four hundred".