8956234342440 has 1152 divisors, whose sum is σ = 38115237888000. Its totient is φ = 1783322956800.

The previous prime is 8956234342423. The next prime is 8956234342457. The reversal of 8956234342440 is 442434326598.

8956234342440 is a `hidden beast` number, since 8 + 9 + 5 + 623 + 4 + 3 + 4 + 2 + 4 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8956234342423) and next prime (8956234342457).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 973604961 + ... + 973614159.

It is an arithmetic number, because the mean of its divisors is an integer number (33086144000).

Almost surely, 2^{8956234342440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8956234342440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057618944000).

8956234342440 is an abundant number, since it is smaller than the sum of its proper divisors (29159003545560).

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

8956234342440 is a wasteful number, since it uses less digits than its factorization.

8956234342440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9379 (or 9361 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 8956234342440 in words is "eight trillion, nine hundred fifty-six billion, two hundred thirty-four million, three hundred forty-two thousand, four hundred forty".