8014865040 has 240 divisors, whose sum is σ = 33128379648. Its totient is φ = 1691034624.

The previous prime is 8014865029. The next prime is 8014865041. The reversal of 8014865040 is 405684108.

8014865040 is a `hidden beast` number, since 8 + 0 + 148 + 6 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8014864986 and 8014865004.

It is not an unprimeable number, because it can be changed into a prime (8014865041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4357 + ... + 126683.

Almost surely, 2^8014865040 is an apocalyptic number.

8014865040 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 8014865040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16564189824).

8014865040 is an abundant number, since it is smaller than the sum of its proper divisors (25113514608).

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

8014865040 is a wasteful number, since it uses less digits than its factorization.

8014865040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122366 (or 122357 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8014865040 is about 89525.7786338661. The cubic root of 8014865040 is about 2001.2379868695.

The spelling of 8014865040 in words is "eight billion, fourteen million, eight hundred sixty-five thousand, forty".