4014951264 has 36 divisors (see below), whose sum is σ = 11417518476. Its totient is φ = 1338316992.

The previous prime is 4014951257. The next prime is 4014951299. The reversal of 4014951264 is 4621594104.

4014951264 is a `hidden beast` number, since 40 + 1 + 49 + 512 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4014951264² = 32239667304590395392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6970114 + ... + 6970689.

It is an arithmetic number, because the mean of its divisors is an integer number (317153291).

Almost surely, 2^4014951264 is an apocalyptic number.

It is an amenable number.

4014951264 is an abundant number, since it is smaller than the sum of its proper divisors (7402567212).

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

4014951264 is a wasteful number, since it uses less digits than its factorization.

4014951264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13940819 (or 13940808 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4014951264 is about 63363.6430770832. The cubic root of 4014951264 is about 1589.3763971998.

The spelling of 4014951264 in words is "four billion, fourteen million, nine hundred fifty-one thousand, two hundred sixty-four".