405505540152504 has 256 divisors, whose sum is σ = 1248977318054400. Its totient is φ = 120872227968000.

The previous prime is 405505540152487. The next prime is 405505540152523. The reversal of 405505540152504 is 405251045505504.

It is a happy number.

405505540152504 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 0 + 5 + 540 + 1 + 52 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 405505540152504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61562179 + ... + 67830029.

It is an arithmetic number, because the mean of its divisors is an integer number (4878817648650).

Almost surely, 2^{405505540152504} is an apocalyptic number.

405505540152504 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 405505540152504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624488659027200).

405505540152504 is an abundant number, since it is smaller than the sum of its proper divisors (843471777901896).

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

405505540152504 is a wasteful number, since it uses less digits than its factorization.

405505540152504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6268323 (or 6268313 counting only the distinct ones).

The product of its (nonzero) digits is 2000000, while the sum is 45.

The spelling of 405505540152504 in words is "four hundred five trillion, five hundred five billion, five hundred forty million, one hundred fifty-two thousand, five hundred four".