8801302897440 has 432 divisors, whose sum is σ = 31514641212600. Its totient is φ = 2234112491520.

The previous prime is 8801302897417. The next prime is 8801302897531. The reversal of 8801302897440 is 447982031088.

It is a happy number.

8801302897440 is a `hidden beast` number, since 8 + 80 + 1 + 30 + 2 + 8 + 97 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6372979074576 + 2428323822864 = 2524476^2 + 1558308^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 210491256 + ... + 210533064.

Almost surely, 2^{8801302897440} is an apocalyptic number.

8801302897440 is a gapful number since it is divisible by the number (80) 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 8801302897440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15757320606300).

8801302897440 is an abundant number, since it is smaller than the sum of its proper divisors (22713338315160).

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

8801302897440 is a wasteful number, since it uses less digits than its factorization.

8801302897440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42001 (or 41919 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8801302897440 in words is "eight trillion, eight hundred one billion, three hundred two million, eight hundred ninety-seven thousand, four hundred forty".