4014833664 has 64 divisors (see below), whose sum is σ = 10706321880. Its totient is φ = 1338245120.

The previous prime is 4014833659. The next prime is 4014833707. The reversal of 4014833664 is 4663384104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×4014833664² = 32237778699175329792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77884 + ... + 118724.

Almost surely, 2^4014833664 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 4014833664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353160940).

4014833664 is an abundant number, since it is smaller than the sum of its proper divisors (6691488216).

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

4014833664 is an frugal number, since it uses more digits than its factorization.

4014833664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40874 (or 40846 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 4014833664 is about 63362.7150933418. The cubic root of 4014833664 is about 1589.3608791626.

The spelling of 4014833664 in words is "four billion, fourteen million, eight hundred thirty-three thousand, six hundred sixty-four".