413031434321142 has 192 divisors, whose sum is σ = 1167727404480000. Its totient is φ = 102455703719424.

The previous prime is 413031434321117. The next prime is 413031434321189. The reversal of 413031434321142 is 241123434130314.

413031434321142 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 3 + 1 + 434 + 3 + 211 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413031434321097 and 413031434321106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43412767 + ... + 52064682.

It is an arithmetic number, because the mean of its divisors is an integer number (6081913565000).

Almost surely, 2^{413031434321142} is an apocalyptic number.

413031434321142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

413031434321142 is an abundant number, since it is smaller than the sum of its proper divisors (754695970158858).

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

413031434321142 is a wasteful number, since it uses less digits than its factorization.

413031434321142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95477635 (or 95477632 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 413031434321142 its reverse (241123434130314), we get a palindrome (654154868451456).

The spelling of 413031434321142 in words is "four hundred thirteen trillion, thirty-one billion, four hundred thirty-four million, three hundred twenty-one thousand, one hundred forty-two".