8812873440 has 1152 divisors, whose sum is σ = 39713587200. Its totient is φ = 1811496960.

The previous prime is 8812873429. The next prime is 8812873451. The reversal of 8812873440 is 443782188.

8812873440 is a `hidden beast` number, since 88 + 128 + 7 + 3 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (8812873429) and next prime (8812873451).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 111555321 + ... + 111555399.

It is an arithmetic number, because the mean of its divisors is an integer number (34473600).

Almost surely, 2^8812873440 is an apocalyptic number.

8812873440 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 8812873440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19856793600).

8812873440 is an abundant number, since it is smaller than the sum of its proper divisors (30900713760).

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

8812873440 is a wasteful number, since it uses less digits than its factorization.

8812873440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8812873440 is about 93876.9057862476. The cubic root of 8812873440 is about 2065.5664825244.

The spelling of 8812873440 in words is "eight billion, eight hundred twelve million, eight hundred seventy-three thousand, four hundred forty".