409665766320 has 480 divisors, whose sum is σ = 1468836702720. Its totient is φ = 104939712000.

The previous prime is 409665766313. The next prime is 409665766379. The reversal of 409665766320 is 23667566904.

409665766320 is a `hidden beast` number, since 4 + 0 + 9 + 6 + 6 + 576 + 63 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 313439107 + ... + 313440413.

It is an arithmetic number, because the mean of its divisors is an integer number (3060076464).

Almost surely, 2^409665766320 is an apocalyptic number.

409665766320 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 409665766320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734418351360).

409665766320 is an abundant number, since it is smaller than the sum of its proper divisors (1059170936400).

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

409665766320 is a wasteful number, since it uses less digits than its factorization.

409665766320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 409665766320 in words is "four hundred nine billion, six hundred sixty-five million, seven hundred sixty-six thousand, three hundred twenty".