2413632769800 has 768 divisors, whose sum is σ = 9004298688000. Its totient is φ = 523197480960.

The previous prime is 2413632769789. The next prime is 2413632769843. The reversal of 2413632769800 is 89672363142.

It is a super-3 number, since 3×2413632769800³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3138663816 + ... + 3138664584.

It is an arithmetic number, because the mean of its divisors is an integer number (11724347250).

Almost surely, 2^{2413632769800} is an apocalyptic number.

2413632769800 is a gapful number since it is divisible by the number (20) 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 2413632769800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502149344000).

2413632769800 is an abundant number, since it is smaller than the sum of its proper divisors (6590665918200).

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

2413632769800 is a wasteful number, since it uses less digits than its factorization.

2413632769800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 2413632769800 in words is "two trillion, four hundred thirteen billion, six hundred thirty-two million, seven hundred sixty-nine thousand, eight hundred".