409153704960 has 2112 divisors, whose sum is σ = 1864254320640. Its totient is φ = 74223452160.

The previous prime is 409153704959. The next prime is 409153704961. The reversal of 409153704960 is 69407351904.

It is an interprime number because it is at equal distance from previous prime (409153704959) and next prime (409153704961).

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409153704961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4597232596 + ... + 4597232684.

Almost surely, 2^409153704960 is an apocalyptic number.

409153704960 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 409153704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932127160320).

409153704960 is an abundant number, since it is smaller than the sum of its proper divisors (1455100615680).

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

409153704960 is a wasteful number, since it uses less digits than its factorization.

409153704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 409153704960 in words is "four hundred nine billion, one hundred fifty-three million, seven hundred four thousand, nine hundred sixty".