409382464512 has 176 divisors, whose sum is σ = 1287261550592. Its totient is φ = 113193123840.

The previous prime is 409382464507. The next prime is 409382464537. The reversal of 409382464512 is 215464283904.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359568 + ... + 973680.

Almost surely, 2^409382464512 is an apocalyptic number.

409382464512 is a gapful number since it is divisible by the number (42) 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 409382464512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643630775296).

409382464512 is an abundant number, since it is smaller than the sum of its proper divisors (877879086080).

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

409382464512 is a wasteful number, since it uses less digits than its factorization.

409382464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614174 (or 614156 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 409382464512 in words is "four hundred nine billion, three hundred eighty-two million, four hundred sixty-four thousand, five hundred twelve".