42132042402400 has 72 divisors (see below), whose sum is σ = 104598151149240. Its totient is φ = 16567175976960.

The previous prime is 42132042402313. The next prime is 42132042402539. The reversal of 42132042402400 is 420424023124.

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, 446266809 + ... + 446361208.

It is an arithmetic number, because the mean of its divisors is an integer number (1452752099295).

Almost surely, 2^{42132042402400} is an apocalyptic number.

42132042402400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42132042402400 is an abundant number, since it is smaller than the sum of its proper divisors (62466108746840).

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

42132042402400 is a wasteful number, since it uses less digits than its factorization.

42132042402400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892628096 (or 892628083 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 42132042402400 its reverse (420424023124), we get a palindrome (42552466425524).

The spelling of 42132042402400 in words is "forty-two trillion, one hundred thirty-two billion, forty-two million, four hundred two thousand, four hundred".