7291091478240 has 1152 divisors, whose sum is σ = 26933336801280. Its totient is φ = 1861438537728.

The previous prime is 7291091478137. The next prime is 7291091478397. The reversal of 7291091478240 is 428741901927.

7291091478240 is a `hidden beast` number, since 7 + 29 + 109 + 1 + 478 + 2 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20654649904 + ... + 20654650256.

It is an arithmetic number, because the mean of its divisors is an integer number (23379632640).

Almost surely, 2^{7291091478240} 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 7291091478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13466668400640).

7291091478240 is an abundant number, since it is smaller than the sum of its proper divisors (19642245323040).

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

7291091478240 is a wasteful number, since it uses less digits than its factorization.

7291091478240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 7291091478240 in words is "seven trillion, two hundred ninety-one billion, ninety-one million, four hundred seventy-eight thousand, two hundred forty".