7940161573344 has 1152 divisors, whose sum is σ = 31422748815360. Its totient is φ = 1894146508800.

The previous prime is 7940161573261. The next prime is 7940161573349. The reversal of 7940161573344 is 4433751610497.

7940161573344 is a `hidden beast` number, since 7 + 9 + 4 + 0 + 1 + 61 + 573 + 3 + 4 + 4 = 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 (7940161573349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2372320279 + ... + 2372323625.

It is an arithmetic number, because the mean of its divisors is an integer number (27276691680).

Almost surely, 2^{7940161573344} 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 7940161573344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15711374407680).

7940161573344 is an abundant number, since it is smaller than the sum of its proper divisors (23482587242016).

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

7940161573344 is a wasteful number, since it uses less digits than its factorization.

7940161573344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 7940161573344 in words is "seven trillion, nine hundred forty billion, one hundred sixty-one million, five hundred seventy-three thousand, three hundred forty-four".