2409788658816 has 1280 divisors, whose sum is σ = 9589987612800. Its totient is φ = 588721029120.

The previous prime is 2409788658749. The next prime is 2409788658829. The reversal of 2409788658816 is 6188568879042.

2409788658816 is a `hidden beast` number, since 2 + 409 + 7 + 88 + 65 + 8 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1551698296 + ... + 1551699848.

Almost surely, 2^{2409788658816} 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 2409788658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794993806400).

2409788658816 is an abundant number, since it is smaller than the sum of its proper divisors (7180198953984).

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

2409788658816 is a wasteful number, since it uses less digits than its factorization.

2409788658816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 2409788658816 in words is "two trillion, four hundred nine billion, seven hundred eighty-eight million, six hundred fifty-eight thousand, eight hundred sixteen".