405822062725632 has 2560 divisors, whose sum is σ = 1530263961600000. Its totient is φ = 105740561203200.

The previous prime is 405822062725603. The next prime is 405822062725633. The reversal of 405822062725632 is 236527260228504.

It is a happy number.

405822062725632 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 2 + 2 + 0 + 6 + 2 + 72 + 563 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (405822062725633) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 924423832869 + ... + 924423833307.

It is an arithmetic number, because the mean of its divisors is an integer number (597759360000).

Almost surely, 2^{405822062725632} is an apocalyptic number.

405822062725632 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 405822062725632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765131980800000).

405822062725632 is an abundant number, since it is smaller than the sum of its proper divisors (1124441898874368).

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

405822062725632 is a wasteful number, since it uses less digits than its factorization.

405822062725632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 405822062725632 in words is "four hundred five trillion, eight hundred twenty-two billion, sixty-two million, seven hundred twenty-five thousand, six hundred thirty-two".