409608697680 has 240 divisors, whose sum is σ = 1693049554560. Its totient is φ = 86422920192.

The previous prime is 409608697651. The next prime is 409608697697. The reversal of 409608697680 is 86796806904.

409608697680 is a `hidden beast` number, since 409 + 6 + 0 + 86 + 9 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 3060310 + ... + 3191349.

It is an arithmetic number, because the mean of its divisors is an integer number (7054373144).

Almost surely, 2^409608697680 is an apocalyptic number.

409608697680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409608697680 is an abundant number, since it is smaller than the sum of its proper divisors (1283440856880).

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

409608697680 is a wasteful number, since it uses less digits than its factorization.

409608697680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6251698 (or 6251689 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 409608697680 in words is "four hundred nine billion, six hundred eight million, six hundred ninety-seven thousand, six hundred eighty".