4014850904064 has 2340 divisors, whose sum is σ = 16620110830092. Its totient is φ = 956470394880.

The previous prime is 4014850904003. The next prime is 4014850904081. The reversal of 4014850904064 is 4604090584104.

4014850904064 is a `hidden beast` number, since 4 + 0 + 1 + 48 + 509 + 0 + 40 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 867491057664 + 3147359846400 = 931392^2 + 1774080^2 .

It is a super-2 number, since 2×4014850904064² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 25572298674 + ... + 25572298830.

Almost surely, 2^{4014850904064} is an apocalyptic number.

4014850904064 is a gapful number since it is divisible by the number (44) 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 4014850904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8310055415046).

4014850904064 is an abundant number, since it is smaller than the sum of its proper divisors (12605259926028).

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

4014850904064 is a wasteful number, since it uses less digits than its factorization.

4014850904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 4014850904064 in words is "four trillion, fourteen billion, eight hundred fifty million, nine hundred four thousand, sixty-four".