405399619215360 has 5040 divisors, whose sum is σ = 1911940373812392. Its totient is φ = 81815006085120.

The previous prime is 405399619215347. The next prime is 405399619215401. The reversal of 405399619215360 is 63512916993504.

405399619215360 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 9 + 9 + 6 + 1 + 92 + 1 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 319474728308736 + 85924890906624 = 17873856^2 + 9269568^2 .

It is a tau number, because it is divible by the number of its divisors (5040).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 359 ways as a sum of consecutive naturals, for example, 727826964202 + ... + 727826964758.

Almost surely, 2^{405399619215360} is an apocalyptic number.

405399619215360 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 405399619215360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955970186906196).

405399619215360 is an abundant number, since it is smaller than the sum of its proper divisors (1506540754597032).

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

405399619215360 is a wasteful number, since it uses less digits than its factorization.

405399619215360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 47239200, while the sum is 63.

The spelling of 405399619215360 in words is "four hundred five trillion, three hundred ninety-nine billion, six hundred nineteen million, two hundred fifteen thousand, three hundred sixty".