413032513074272 has 192 divisors, whose sum is σ = 1020875753963520. Its totient is φ = 160151557902336.

The previous prime is 413032513074187. The next prime is 413032513074289. The reversal of 413032513074272 is 272470315230314.

It is a super-3 number, since 3×413032513074272³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

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, 24963953 + ... + 38069199.

It is an arithmetic number, because the mean of its divisors is an integer number (5317061218560).

Almost surely, 2^{413032513074272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413032513074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510437876981760).

413032513074272 is an abundant number, since it is smaller than the sum of its proper divisors (607843240889248).

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

413032513074272 is a wasteful number, since it uses less digits than its factorization.

413032513074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13105493 (or 13105485 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 413032513074272 in words is "four hundred thirteen trillion, thirty-two billion, five hundred thirteen million, seventy-four thousand, two hundred seventy-two".