10414959264 has 120 divisors (see below), whose sum is σ = 30745205568. Its totient is φ = 3458609280.

The previous prime is 10414959263. The next prime is 10414959281. The reversal of 10414959264 is 46295941401.

10414959264 is a `hidden beast` number, since 1 + 0 + 414 + 95 + 92 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (10414959263) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 695019 + ... + 709845.

Almost surely, 2^10414959264 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 10414959264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15372602784).

10414959264 is an abundant number, since it is smaller than the sum of its proper divisors (20330246304).

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

10414959264 is a wasteful number, since it uses less digits than its factorization.

10414959264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15120 (or 15103 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10414959264 in words is "ten billion, four hundred fourteen million, nine hundred fifty-nine thousand, two hundred sixty-four".