8800400463840 has 768 divisors, whose sum is σ = 33865467552000. Its totient is φ = 2124498862080.

The previous prime is 8800400463749. The next prime is 8800400463847. The reversal of 8800400463840 is 483640040088.

8800400463840 is a `hidden beast` number, since 8 + 8 + 0 + 0 + 4 + 0 + 0 + 4 + 638 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8800400463847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 572897760 + ... + 572913120.

It is an arithmetic number, because the mean of its divisors is an integer number (44095660875).

Almost surely, 2^{8800400463840} is an apocalyptic number.

8800400463840 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 8800400463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16932733776000).

8800400463840 is an abundant number, since it is smaller than the sum of its proper divisors (25065067088160).

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

8800400463840 is a wasteful number, since it uses less digits than its factorization.

8800400463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15700 (or 15686 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 8800400463840 in words is "eight trillion, eight hundred billion, four hundred million, four hundred sixty-three thousand, eight hundred forty".