413051552050432 has 144 divisors (see below), whose sum is σ = 840846906648000. Its totient is φ = 202470574899200.

The previous prime is 413051552050429. The next prime is 413051552050457. The reversal of 413051552050432 is 234050255150314.

It is a super-2 number, since 2×413051552050432² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5807041044 + ... + 5807112172.

It is an arithmetic number, because the mean of its divisors is an integer number (5839214629500).

Almost surely, 2^{413051552050432} 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 413051552050432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420423453324000).

413051552050432 is an abundant number, since it is smaller than the sum of its proper divisors (427795354597568).

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

413051552050432 is a wasteful number, since it uses less digits than its factorization.

413051552050432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73452 (or 73438 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 413051552050432 in words is "four hundred thirteen trillion, fifty-one billion, five hundred fifty-two million, fifty thousand, four hundred thirty-two".