405399689856 has 1024 divisors, whose sum is σ = 1484780544000. Its totient is φ = 106401005568.

The previous prime is 405399689777. The next prime is 405399689897. The reversal of 405399689856 is 658986993504.

405399689856 is a `hidden beast` number, since 4 + 0 + 539 + 9 + 6 + 8 + 9 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1739912716 + ... + 1739912948.

It is an arithmetic number, because the mean of its divisors is an integer number (1449981000).

Almost surely, 2^405399689856 is an apocalyptic number.

405399689856 is a gapful number since it is divisible by the number (46) 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 405399689856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742390272000).

405399689856 is an abundant number, since it is smaller than the sum of its proper divisors (1079380854144).

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

405399689856 is a wasteful number, since it uses less digits than its factorization.

405399689856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 503884800, while the sum is 72.

The spelling of 405399689856 in words is "four hundred five billion, three hundred ninety-nine million, six hundred eighty-nine thousand, eight hundred fifty-six".