405504045000 has 120 divisors (see below), whose sum is σ = 1372361008590. Its totient is φ = 108134400000.

The previous prime is 405504044879. The next prime is 405504045013. The reversal of 405504045000 is 540405504.

It can be written as a sum of positive squares in 5 ways, for example, as 2007219204 + 403496825796 = 44802^2 + 635214^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×405504045000² (a number of 24 digits) contains 22 as substring.

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 29 ways as a sum of consecutive naturals, for example, 4460601 + ... + 4550600.

Almost surely, 2^405504045000 is an apocalyptic number.

405504045000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405504045000 is an abundant number, since it is smaller than the sum of its proper divisors (966856963590).

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

405504045000 is a wasteful number, since it uses less digits than its factorization.

405504045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011233 (or 9011211 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The spelling of 405504045000 in words is "four hundred five billion, five hundred four million, forty-five thousand".