2407138836144 has 80 divisors (see below), whose sum is σ = 7142503564800. Its totient is φ = 684297884160.

The previous prime is 2407138836143. The next prime is 2407138836163. The reversal of 2407138836144 is 4416388317042.

2407138836144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2407138836143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17933397 + ... + 18067124.

It is an arithmetic number, because the mean of its divisors is an integer number (89281294560).

Almost surely, 2^{2407138836144} is an apocalyptic number.

2407138836144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2407138836144 is an abundant number, since it is smaller than the sum of its proper divisors (4735364728656).

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

2407138836144 is a wasteful number, since it uses less digits than its factorization.

2407138836144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36000738 (or 36000732 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 2407138836144 in words is "two trillion, four hundred seven billion, one hundred thirty-eight million, eight hundred thirty-six thousand, one hundred forty-four".