9413396934480 has 2160 divisors, whose sum is σ = 45058715432640. Its totient is φ = 1743821291520.

The previous prime is 9413396934467. The next prime is 9413396934511. The reversal of 9413396934480 is 844396933149.

9413396934480 is a `hidden beast` number, since 9 + 4 + 1 + 33 + 96 + 9 + 34 + 480 = 666.

9413396934480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9413396934480² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1378844827 + ... + 1378851653.

It is an arithmetic number, because the mean of its divisors is an integer number (20860516404).

Almost surely, 2^{9413396934480} is an apocalyptic number.

9413396934480 is a gapful number since it is divisible by the number (90) 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 9413396934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22529357716320).

9413396934480 is an abundant number, since it is smaller than the sum of its proper divisors (35645318498160).

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

9413396934480 is a wasteful number, since it uses less digits than its factorization.

9413396934480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 9413396934480 in words is "nine trillion, four hundred thirteen billion, three hundred ninety-six million, nine hundred thirty-four thousand, four hundred eighty".