7381295493120 has 1248 divisors, whose sum is σ = 28041999897600. Its totient is φ = 1841500127232.

The previous prime is 7381295493097. The next prime is 7381295493127. The reversal of 7381295493120 is 213945921837.

7381295493120 is a `hidden beast` number, since 7 + 3 + 8 + 1 + 29 + 5 + 493 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7381295493127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20560711501 + ... + 20560711859.

It is an arithmetic number, because the mean of its divisors is an integer number (22469551200).

Almost surely, 2^{7381295493120} 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 7381295493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020999948800).

7381295493120 is an abundant number, since it is smaller than the sum of its proper divisors (20660704404480).

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

7381295493120 is a wasteful number, since it uses less digits than its factorization.

7381295493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 7381295493120 in words is "seven trillion, three hundred eighty-one billion, two hundred ninety-five million, four hundred ninety-three thousand, one hundred twenty".