405322807680000 has 4400 divisors, whose sum is σ = 1804169037901824. Its totient is φ = 88663818240000.

The previous prime is 405322807679987. The next prime is 405322807680041. The reversal of 405322807680000 is 86708223504.

405322807680000 is a `hidden beast` number, since 40 + 532 + 2 + 8 + 0 + 76 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 1541151359869 + ... + 1541151360131.

Almost surely, 2^{405322807680000} is an apocalyptic number.

405322807680000 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 405322807680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902084518950912).

405322807680000 is an abundant number, since it is smaller than the sum of its proper divisors (1398846230221824).

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

405322807680000 is a wasteful number, since it uses less digits than its factorization.

405322807680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 405322807680000 in words is "four hundred five trillion, three hundred twenty-two billion, eight hundred seven million, six hundred eighty thousand".