7913107319040 has 1728 divisors, whose sum is σ = 36827812449792. Its totient is φ = 1518206976000.

The previous prime is 7913107319021. The next prime is 7913107319041. The reversal of 7913107319040 is 409137013197.

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 (7913107319041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 799218090 + ... + 799227990.

It is an arithmetic number, because the mean of its divisors is an integer number (21312391464).

Almost surely, 2^{7913107319040} is an apocalyptic number.

7913107319040 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 7913107319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18413906224896).

7913107319040 is an abundant number, since it is smaller than the sum of its proper divisors (28914705130752).

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

7913107319040 is a wasteful number, since it uses less digits than its factorization.

7913107319040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10016 (or 9999 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 7913107319040 in words is "seven trillion, nine hundred thirteen billion, one hundred seven million, three hundred nineteen thousand, forty".