7165400797440 has 864 divisors, whose sum is σ = 27278840709120. Its totient is φ = 1795764805632.

The previous prime is 7165400797427. The next prime is 7165400797463. The reversal of 7165400797440 is 447970045617.

It is a happy number.

7165400797440 is a `hidden beast` number, since 7 + 1 + 6 + 540 + 0 + 7 + 97 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 750534747 + ... + 750544293.

Almost surely, 2^{7165400797440} 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 7165400797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13639420354560).

7165400797440 is an abundant number, since it is smaller than the sum of its proper divisors (20113439911680).

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

7165400797440 is a wasteful number, since it uses less digits than its factorization.

7165400797440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9729 (or 9703 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 7165400797440 in words is "seven trillion, one hundred sixty-five billion, four hundred million, seven hundred ninety-seven thousand, four hundred forty".