409420569600 has 1056 divisors, whose sum is σ = 1765505730560. Its totient is φ = 91012792320.

The previous prime is 409420569599. The next prime is 409420569611. The reversal of 409420569600 is 6965024904.

409420569600 is a `hidden beast` number, since 4 + 0 + 9 + 4 + 20 + 569 + 60 + 0 = 666.

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

It is a congruent number.

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, 179019657 + ... + 179021943.

Almost surely, 2^409420569600 is an apocalyptic number.

409420569600 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 409420569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882752865280).

409420569600 is an abundant number, since it is smaller than the sum of its proper divisors (1356085160960).

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

409420569600 is a wasteful number, since it uses less digits than its factorization.

409420569600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2341 counting only the distinct ones).

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

The spelling of 409420569600 in words is "four hundred nine billion, four hundred twenty million, five hundred sixty-nine thousand, six hundred".