799021117440 has 2080 divisors, whose sum is σ = 3623184660480. Its totient is φ = 163966353408.

The previous prime is 799021117439. The next prime is 799021117441. The reversal of 799021117440 is 44711120997.

799021117440 is a `hidden beast` number, since 7 + 9 + 90 + 2 + 1 + 117 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (799021117439) and next prime (799021117441).

It is a tau number, because it is divible by the number of its divisors (2080).

It is a super-2 number, since 2×799021117440² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (799021117441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10114191321 + ... + 10114191399.

Almost surely, 2^799021117440 is an apocalyptic number.

799021117440 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 799021117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811592330240).

799021117440 is an abundant number, since it is smaller than the sum of its proper divisors (2824163543040).

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

799021117440 is a wasteful number, since it uses less digits than its factorization.

799021117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 799021117440 in words is "seven hundred ninety-nine billion, twenty-one million, one hundred seventeen thousand, four hundred forty".