420001314132000 has 192 divisors, whose sum is σ = 1385823046608000. Its totient is φ = 111194592076800.

The previous prime is 420001314131989. The next prime is 420001314132083. The reversal of 420001314132000 is 231413100024.

It is a super-2 number, since 2×420001314132000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124231675 + ... + 127567674.

It is an arithmetic number, because the mean of its divisors is an integer number (7217828367750).

Almost surely, 2^{420001314132000} is an apocalyptic number.

420001314132000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420001314132000 is an abundant number, since it is smaller than the sum of its proper divisors (965821732476000).

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

420001314132000 is a wasteful number, since it uses less digits than its factorization.

420001314132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251799516 (or 251799498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 420001314132000 its reverse (231413100024), we get a palindrome (420232727232024).

The spelling of 420001314132000 in words is "four hundred twenty trillion, one billion, three hundred fourteen million, one hundred thirty-two thousand".