405039138336 has 288 divisors, whose sum is σ = 1418574850560. Its totient is φ = 111992025600.

The previous prime is 405039138323. The next prime is 405039138347. The reversal of 405039138336 is 633831930504.

405039138336 is a `hidden beast` number, since 4 + 0 + 503 + 9 + 138 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 405039138291 and 405039138300.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158106 + ... + 1466726.

It is an arithmetic number, because the mean of its divisors is an integer number (4925607120).

Almost surely, 2^405039138336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 405039138336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709287425280).

405039138336 is an abundant number, since it is smaller than the sum of its proper divisors (1013535712224).

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

405039138336 is a wasteful number, since it uses less digits than its factorization.

405039138336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308685 (or 308664 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 405039138336 in words is "four hundred five billion, thirty-nine million, one hundred thirty-eight thousand, three hundred thirty-six".