405165516040 has 32 divisors (see below), whose sum is σ = 926567046360. Its totient is φ = 159409382400.

The previous prime is 405165516013. The next prime is 405165516113. The reversal of 405165516040 is 40615561504.

It can be written as a sum of positive squares in 4 ways, for example, as 180419358564 + 224746157476 = 424758^2 + 474074^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83023281 + ... + 83028160.

Almost surely, 2^405165516040 is an apocalyptic number.

405165516040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405165516040 is an abundant number, since it is smaller than the sum of its proper divisors (521401530320).

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

405165516040 is a wasteful number, since it uses less digits than its factorization.

405165516040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166051513 (or 166051509 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 405165516040 in words is "four hundred five billion, one hundred sixty-five million, five hundred sixteen thousand, forty".