7975040141376 has 1344 divisors, whose sum is σ = 31107961737216. Its totient is φ = 1980548444160.

The previous prime is 7975040141329. The next prime is 7975040141377. The reversal of 7975040141376 is 6731410405797.

7975040141376 is a `hidden beast` number, since 7 + 97 + 5 + 0 + 40 + 141 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (7975040141377) 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, 3332652436 + ... + 3332654828.

It is an arithmetic number, because the mean of its divisors is an integer number (23145804864).

Almost surely, 2^{7975040141376} 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 7975040141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15553980868608).

7975040141376 is an abundant number, since it is smaller than the sum of its proper divisors (23132921595840).

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

7975040141376 is a wasteful number, since it uses less digits than its factorization.

7975040141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 7975040141376 in words is "seven trillion, nine hundred seventy-five billion, forty million, one hundred forty-one thousand, three hundred seventy-six".