7928380243440 has 320 divisors, whose sum is σ = 28522331596800. Its totient is φ = 2022226062336.

The previous prime is 7928380243417. The next prime is 7928380243451. The reversal of 7928380243440 is 443420838297.

7928380243440 is a `hidden beast` number, since 7 + 9 + 2 + 83 + 80 + 2 + 43 + 440 = 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 63 ways as a sum of consecutive naturals, for example, 3874569 + ... + 5555991.

It is an arithmetic number, because the mean of its divisors is an integer number (89132286240).

Almost surely, 2^{7928380243440} 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 7928380243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14261165798400).

7928380243440 is an abundant number, since it is smaller than the sum of its proper divisors (20593951353360).

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

7928380243440 is a wasteful number, since it uses less digits than its factorization.

7928380243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681541 (or 1681529 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 7928380243440 in words is "seven trillion, nine hundred twenty-eight billion, three hundred eighty million, two hundred forty-three thousand, four hundred forty".