2438130853440 has 896 divisors, whose sum is σ = 9116167127040. Its totient is φ = 612209664000.

The previous prime is 2438130853399. The next prime is 2438130853447. The reversal of 2438130853440 is 443580318342.

2438130853440 is a `hidden beast` number, since 2 + 4 + 3 + 81 + 30 + 8 + 534 + 4 + 0 = 666.

2438130853440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2438130853447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6643408137 + ... + 6643408503.

Almost surely, 2^{2438130853440} is an apocalyptic number.

2438130853440 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 2438130853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558083563520).

2438130853440 is an abundant number, since it is smaller than the sum of its proper divisors (6678036273600).

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

2438130853440 is a wasteful number, since it uses less digits than its factorization.

2438130853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 2438130853440 in words is "two trillion, four hundred thirty-eight billion, one hundred thirty million, eight hundred fifty-three thousand, four hundred forty".