405555023022048 has 192 divisors, whose sum is σ = 1211434090009920. Its totient is φ = 131958587621376.

The previous prime is 405555023022041. The next prime is 405555023022113. The reversal of 405555023022048 is 840220320555504.

405555023022048 is a `hidden beast` number, since 4 + 0 + 5 + 5 + 550 + 2 + 30 + 2 + 20 + 48 = 666.

It is a super-2 number, since 2×405555023022048² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405555023021994 and 405555023022012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405555023022041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27026515 + ... + 39262482.

It is an arithmetic number, because the mean of its divisors is an integer number (6309552552135).

Almost surely, 2^{405555023022048} is an apocalyptic number.

405555023022048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

405555023022048 is an abundant number, since it is smaller than the sum of its proper divisors (805879066987872).

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

405555023022048 is a wasteful number, since it uses less digits than its factorization.

405555023022048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66289186 (or 66289172 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 405555023022048 in words is "four hundred five trillion, five hundred fifty-five billion, twenty-three million, twenty-two thousand, forty-eight".