4014438624 has 96 divisors (see below), whose sum is σ = 13381482240. Its totient is φ = 1146980736.

The previous prime is 4014438613. The next prime is 4014438643. The reversal of 4014438624 is 4268344104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4014438624² = 32231434931726026752, 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 15 ways as a sum of consecutive naturals, for example, 325834 + ... + 337929.

It is an arithmetic number, because the mean of its divisors is an integer number (139390440).

Almost surely, 2^4014438624 is an apocalyptic number.

It is an amenable number.

4014438624 is an abundant number, since it is smaller than the sum of its proper divisors (9367043616).

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

4014438624 is a wasteful number, since it uses less digits than its factorization.

4014438624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663789 (or 663775 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4014438624 is about 63359.5977259957. The cubic root of 4014438624 is about 1589.3087490066.

The spelling of 4014438624 in words is "four billion, fourteen million, four hundred thirty-eight thousand, six hundred twenty-four".