409352622720 has 512 divisors, whose sum is σ = 1427673600000. Its totient is φ = 99370156032.

The previous prime is 409352622709. The next prime is 409352622787. The reversal of 409352622720 is 27226253904.

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, 252842071 + ... + 252843689.

It is an arithmetic number, because the mean of its divisors is an integer number (2788425000).

Almost surely, 2^409352622720 is an apocalyptic number.

409352622720 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 409352622720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713836800000).

409352622720 is an abundant number, since it is smaller than the sum of its proper divisors (1018320977280).

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

409352622720 is a wasteful number, since it uses less digits than its factorization.

409352622720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1928 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 409352622720 in words is "four hundred nine billion, three hundred fifty-two million, six hundred twenty-two thousand, seven hundred twenty".