405413521552 has 80 divisors (see below), whose sum is σ = 868812392448. Its totient is φ = 182072079360.

The previous prime is 405413521549. The next prime is 405413521571. The reversal of 405413521552 is 255125314504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3204163 + ... + 3328285.

Almost surely, 2^405413521552 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 405413521552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434406196224).

405413521552 is an abundant number, since it is smaller than the sum of its proper divisors (463398870896).

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

405413521552 is a wasteful number, since it uses less digits than its factorization.

405413521552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124568 (or 124562 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 37.

The spelling of 405413521552 in words is "four hundred five billion, four hundred thirteen million, five hundred twenty-one thousand, five hundred fifty-two".