409258289664 has 640 divisors, whose sum is σ = 1467581068800. Its totient is φ = 110114242560.

The previous prime is 409258289651. The next prime is 409258289669. The reversal of 409258289664 is 466982852904.

409258289664 is a `hidden beast` number, since 40 + 9 + 2 + 582 + 8 + 9 + 6 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (409258289669) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115055374 + ... + 115058930.

It is an arithmetic number, because the mean of its divisors is an integer number (2293095420).

Almost surely, 2^409258289664 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 409258289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733790534400).

409258289664 is an abundant number, since it is smaller than the sum of its proper divisors (1058322779136).

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

409258289664 is a wasteful number, since it uses less digits than its factorization.

409258289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 409258289664 in words is "four hundred nine billion, two hundred fifty-eight million, two hundred eighty-nine thousand, six hundred sixty-four".