7438580244000 has 960 divisors, whose sum is σ = 27631353990240. Its totient is φ = 1959867187200.

The previous prime is 7438580243993. The next prime is 7438580244013. The reversal of 7438580244000 is 4420858347.

It is a happy number.

7438580244000 is a `hidden beast` number, since 7 + 4 + 3 + 8 + 580 + 24 + 40 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 220137379344 + 7218442864656 = 469188^2 + 2686716^2 .

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

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, 13073075716 + ... + 13073076284.

Almost surely, 2^{7438580244000} 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 7438580244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13815676995120).

7438580244000 is an abundant number, since it is smaller than the sum of its proper divisors (20192773746240).

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

7438580244000 is a wasteful number, since it uses less digits than its factorization.

7438580244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 7438580244000 in words is "seven trillion, four hundred thirty-eight billion, five hundred eighty million, two hundred forty-four thousand".