405132079560 has 384 divisors, whose sum is σ = 1387540316160. Its totient is φ = 94447641600.

The previous prime is 405132079523. The next prime is 405132079621. The reversal of 405132079560 is 65970231504.

It is a super-2 number, since 2×405132079560² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29541105 + ... + 29554815.

It is an arithmetic number, because the mean of its divisors is an integer number (3613386240).

Almost surely, 2^405132079560 is an apocalyptic number.

405132079560 is a gapful number since it is divisible by the number (40) 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 405132079560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693770158080).

405132079560 is an abundant number, since it is smaller than the sum of its proper divisors (982408236600).

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

405132079560 is a wasteful number, since it uses less digits than its factorization.

405132079560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829 (or 13812 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 405132079560 in words is "four hundred five billion, one hundred thirty-two million, seventy-nine thousand, five hundred sixty".