405521411504 has 60 divisors (see below), whose sum is σ = 864543722952. Its totient is φ = 184130369280.

The previous prime is 405521411501. The next prime is 405521411531. The reversal of 405521411504 is 405114125504.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (405521411501) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1702259 + ... + 1925805.

Almost surely, 2^405521411504 is an apocalyptic number.

405521411504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405521411504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432271861476).

405521411504 is an abundant number, since it is smaller than the sum of its proper divisors (459022311448).

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

405521411504 is a wasteful number, since it uses less digits than its factorization.

405521411504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224514 (or 224497 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 405521411504 in words is "four hundred five billion, five hundred twenty-one million, four hundred eleven thousand, five hundred four".