2400132013344 has 360 divisors, whose sum is σ = 7773101748720. Its totient is φ = 725977354752.

The previous prime is 2400132013337. The next prime is 2400132013373. The reversal of 2400132013344 is 4433102310042.

2400132013344 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 1 + 320 + 1 + 334 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 25798399 + ... + 25891265.

It is an arithmetic number, because the mean of its divisors is an integer number (21591949302).

Almost surely, 2^{2400132013344} is an apocalyptic number.

2400132013344 is a gapful number since it is divisible by the number (24) 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 2400132013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886550874360).

2400132013344 is an abundant number, since it is smaller than the sum of its proper divisors (5372969735376).

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

2400132013344 is a wasteful number, since it uses less digits than its factorization.

2400132013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92974 (or 92944 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2400132013344 its reverse (4433102310042), we get a palindrome (6833234323386).

The spelling of 2400132013344 in words is "two trillion, four hundred billion, one hundred thirty-two million, thirteen thousand, three hundred forty-four".