8874104117440 has 224 divisors, whose sum is σ = 21904065025920. Its totient is φ = 3422158848000.

The previous prime is 8874104117429. The next prime is 8874104117447. The reversal of 8874104117440 is 447114014788.

It is a happy number.

It is a super-2 number, since 2×8874104117440² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8874104117447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382344556 + ... + 382367764.

It is an arithmetic number, because the mean of its divisors is an integer number (97786004580).

Almost surely, 2^{8874104117440} is an apocalyptic number.

8874104117440 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 8874104117440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952032512960).

8874104117440 is an abundant number, since it is smaller than the sum of its proper divisors (13029960908480).

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

8874104117440 is a wasteful number, since it uses less digits than its factorization.

8874104117440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23611 (or 23601 counting only the distinct ones).

The product of its (nonzero) digits is 802816, while the sum is 49.

The spelling of 8874104117440 in words is "eight trillion, eight hundred seventy-four billion, one hundred four million, one hundred seventeen thousand, four hundred forty".