7937812261440 has 392 divisors, whose sum is σ = 28350142319160. Its totient is φ = 2115985711104.

The previous prime is 7937812261429. The next prime is 7937812261453. The reversal of 7937812261440 is 441622187397.

7937812261440 is a `hidden beast` number, since 7 + 9 + 3 + 7 + 8 + 12 + 2 + 614 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 241049577024 + 7696762684416 = 490968^2 + 2774304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 983737726 + ... + 983745794.

Almost surely, 2^{7937812261440} 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 7937812261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175071159580).

7937812261440 is an abundant number, since it is smaller than the sum of its proper divisors (20412330057720).

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

7937812261440 is an equidigital number, since it uses as much as digits as its factorization.

7937812261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12321 (or 12296 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 7937812261440 in words is "seven trillion, nine hundred thirty-seven billion, eight hundred twelve million, two hundred sixty-one thousand, four hundred forty".