409579242024960 has 2080 divisors, whose sum is σ = 1843120126172160. Its totient is φ = 84833668694016.

The previous prime is 409579242024947. The next prime is 409579242025001. The reversal of 409579242024960 is 69420242975904.

409579242024960 is a `hidden beast` number, since 4 + 0 + 9 + 57 + 92 + 4 + 2 + 0 + 2 + 496 + 0 = 666.

It is a super-2 number, since 2×409579242024960² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5074473564 + ... + 5074554276.

Almost surely, 2^{409579242024960} is an apocalyptic number.

409579242024960 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 409579242024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921560063086080).

409579242024960 is an abundant number, since it is smaller than the sum of its proper divisors (1433540884147200).

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

409579242024960 is a wasteful number, since it uses less digits than its factorization.

409579242024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80803 (or 80772 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 409579242024960 in words is "four hundred nine trillion, five hundred seventy-nine billion, two hundred forty-two million, twenty-four thousand, nine hundred sixty".