8716400634240 has 1024 divisors, whose sum is σ = 34246227456000. Its totient is φ = 2081326399488.

The previous prime is 8716400634233. The next prime is 8716400634247. The reversal of 8716400634240 is 424360046178.

8716400634240 is a `hidden beast` number, since 8 + 7 + 1 + 6 + 4 + 0 + 0 + 634 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8716400634233) and next prime (8716400634247).

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 (8716400634247) 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, 3150125337 + ... + 3150128103.

It is an arithmetic number, because the mean of its divisors is an integer number (33443581500).

Almost surely, 2^{8716400634240} is an apocalyptic number.

8716400634240 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 8716400634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17123113728000).

8716400634240 is an abundant number, since it is smaller than the sum of its proper divisors (25529826821760).

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

8716400634240 is a wasteful number, since it uses less digits than its factorization.

8716400634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 8716400634240 in words is "eight trillion, seven hundred sixteen billion, four hundred million, six hundred thirty-four thousand, two hundred forty".