405522432252040 has 64 divisors (see below), whose sum is σ = 912855618702720. Its totient is φ = 162132515712000.

The previous prime is 405522432252001. The next prime is 405522432252083. The reversal of 405522432252040 is 40252234225504.

It is a super-2 number, since 2×405522432252040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 405522432251984 and 405522432252002.

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 15 ways as a sum of consecutive naturals, for example, 1009136355 + ... + 1009538125.

It is an arithmetic number, because the mean of its divisors is an integer number (14263369042230).

Almost surely, 2^{405522432252040} is an apocalyptic number.

405522432252040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405522432252040 is an abundant number, since it is smaller than the sum of its proper divisors (507333186450680).

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

405522432252040 is a wasteful number, since it uses less digits than its factorization.

405522432252040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413614 (or 413610 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 40.

Adding to 405522432252040 its reverse (40252234225504), we get a palindrome (445774666477544).

The spelling of 405522432252040 in words is "four hundred five trillion, five hundred twenty-two billion, four hundred thirty-two million, two hundred fifty-two thousand, forty".