405504405504 has 312 divisors, whose sum is σ = 1290579071184. Its totient is φ = 121651200000.

The previous prime is 405504405503. The next prime is 405504405539.

405504405504 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (405504405503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40950954 + ... + 40960854.

It is an arithmetic number, because the mean of its divisors is an integer number (4136471382).

Almost surely, 2^405504405504 is an apocalyptic number.

405504405504 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 405504405504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645289535592).

405504405504 is an abundant number, since it is smaller than the sum of its proper divisors (885074665680).

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

405504405504 is a wasteful number, since it uses less digits than its factorization.

405504405504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10043 (or 10018 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The spelling of 405504405504 in words is "four hundred five billion, five hundred four million, four hundred five thousand, five hundred four".