405755974512 has 320 divisors, whose sum is σ = 1402945920000. Its totient is φ = 109819487232.

The previous prime is 405755974453. The next prime is 405755974537. The reversal of 405755974512 is 215479557504.

405755974512 is a `hidden beast` number, since 4 + 0 + 5 + 7 + 5 + 59 + 74 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4604239 + ... + 4691537.

It is an arithmetic number, because the mean of its divisors is an integer number (4384206000).

Almost surely, 2^405755974512 is an apocalyptic number.

405755974512 is a gapful number since it is divisible by the number (42) 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 405755974512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701472960000).

405755974512 is an abundant number, since it is smaller than the sum of its proper divisors (997189945488).

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

405755974512 is a wasteful number, since it uses less digits than its factorization.

405755974512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87405 (or 87393 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 405755974512 in words is "four hundred five billion, seven hundred fifty-five million, nine hundred seventy-four thousand, five hundred twelve".