7481060504400 has 960 divisors, whose sum is σ = 29577421209600. Its totient is φ = 1579640832000.

The previous prime is 7481060504341. The next prime is 7481060504413. The reversal of 7481060504400 is 44050601847.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 672086835 + ... + 672097965.

It is an arithmetic number, because the mean of its divisors is an integer number (30809813760).

Almost surely, 2^{7481060504400} is an apocalyptic number.

7481060504400 is a gapful number since it is divisible by the number (70) 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 7481060504400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14788710604800).

7481060504400 is an abundant number, since it is smaller than the sum of its proper divisors (22096360705200).

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

7481060504400 is a wasteful number, since it uses less digits than its factorization.

7481060504400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11308 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 7481060504400 in words is "seven trillion, four hundred eighty-one billion, sixty million, five hundred four thousand, four hundred".