795121367040 has 3072 divisors, whose sum is σ = 4041902592000. Its totient is φ = 143539568640.

The previous prime is 795121367011. The next prime is 795121367071. The reversal of 795121367040 is 40763121597.

795121367040 is a `hidden beast` number, since 79 + 512 + 1 + 3 + 67 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46771845112 + ... + 46771845128.

It is an arithmetic number, because the mean of its divisors is an integer number (1315723500).

Almost surely, 2^795121367040 is an apocalyptic number.

795121367040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 795121367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020951296000).

795121367040 is an abundant number, since it is smaller than the sum of its proper divisors (3246781224960).

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

795121367040 is a wasteful number, since it uses less digits than its factorization.

795121367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 795121367040 in words is "seven hundred ninety-five billion, one hundred twenty-one million, three hundred sixty-seven thousand, forty".