409974276096 has 1360 divisors, whose sum is σ = 1644322394880. Its totient is φ = 98524200960.

The previous prime is 409974276059. The next prime is 409974276143. The reversal of 409974276096 is 690672479904.

409974276096 is a `hidden beast` number, since 409 + 9 + 74 + 2 + 76 + 0 + 96 = 666.

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 79 ways as a sum of consecutive naturals, for example, 6948716515 + ... + 6948716573.

Almost surely, 2^409974276096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409974276096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822161197440).

409974276096 is an abundant number, since it is smaller than the sum of its proper divisors (1234348118784).

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

409974276096 is an equidigital number, since it uses as much as digits as its factorization.

409974276096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 409974276096 in words is "four hundred nine billion, nine hundred seventy-four million, two hundred seventy-six thousand, ninety-six".