409727416320 has 288 divisors, whose sum is σ = 1444129268400. Its totient is φ = 107407343616.

The previous prime is 409727416303. The next prime is 409727416387. The reversal of 409727416320 is 23614727904.

409727416320 is a `hidden beast` number, since 4 + 0 + 9 + 7 + 2 + 7 + 4 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 23 ways as a sum of consecutive naturals, for example, 5399764 + ... + 5475116.

Almost surely, 2^409727416320 is an apocalyptic number.

409727416320 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 409727416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722064634200).

409727416320 is an abundant number, since it is smaller than the sum of its proper divisors (1034401852080).

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

409727416320 is a wasteful number, since it uses less digits than its factorization.

409727416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75445 (or 75422 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 409727416320 in words is "four hundred nine billion, seven hundred twenty-seven million, four hundred sixteen thousand, three hundred twenty".