8114907939840 has 1408 divisors, whose sum is σ = 31795468669440. Its totient is φ = 1975049256960.

The previous prime is 8114907939821. The next prime is 8114907939863. The reversal of 8114907939840 is 489397094118.

8114907939840 is a `hidden beast` number, since 8 + 1 + 1 + 490 + 79 + 39 + 8 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15575638780 + ... + 15575639300.

Almost surely, 2^{8114907939840} is an apocalyptic number.

8114907939840 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 8114907939840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15897734334720).

8114907939840 is an abundant number, since it is smaller than the sum of its proper divisors (23680560729600).

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

8114907939840 is a wasteful number, since it uses less digits than its factorization.

8114907939840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 8114907939840 in words is "eight trillion, one hundred fourteen billion, nine hundred seven million, nine hundred thirty-nine thousand, eight hundred forty".