409025064960 has 312 divisors, whose sum is σ = 1470308745360. Its totient is φ = 109072023552.

The previous prime is 409025064947. The next prime is 409025064961. The reversal of 409025064960 is 69460520904.

409025064960 is a `hidden beast` number, since 40 + 9 + 0 + 2 + 506 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (409025064961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4935546 + ... + 5017734.

It is an arithmetic number, because the mean of its divisors is an integer number (4712528030).

Almost surely, 2^409025064960 is an apocalyptic number.

409025064960 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 409025064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735154372680).

409025064960 is an abundant number, since it is smaller than the sum of its proper divisors (1061283680400).

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

409025064960 is an frugal number, since it uses more digits than its factorization.

409025064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82233 (or 82199 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 409025064960 in words is "four hundred nine billion, twenty-five million, sixty-four thousand, nine hundred sixty".