405802008000 has 448 divisors, whose sum is σ = 1523501591040. Its totient is φ = 105694848000.

The previous prime is 405802007971. The next prime is 405802008011. The reversal of 405802008000 is 800208504.

405802008000 is a `hidden beast` number, since 4 + 0 + 580 + 2 + 0 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9266155 + ... + 9309845.

Almost surely, 2^405802008000 is an apocalyptic number.

405802008000 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 405802008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761750795520).

405802008000 is an abundant number, since it is smaller than the sum of its proper divisors (1117699583040).

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

405802008000 is a wasteful number, since it uses less digits than its factorization.

405802008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43770 (or 43744 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 405802008000 in words is "four hundred five billion, eight hundred two million, eight thousand".