4014489600 has 675 divisors, whose sum is σ = 16346899261. Its totient is φ = 973209600.

The previous prime is 4014489569. The next prime is 4014489607. The reversal of 4014489600 is 69844104.

It is a happy number.

The square root of 4014489600 is 63360.

It is a perfect power (a square), and thus also a powerful number.

4014489600 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 48 + 9 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1445216256 + 2569273344 = 38016^2 + 50688^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×4014489600² = 32232253497016320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4014489607) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 364953595 + ... + 364953605.

Almost surely, 2^4014489600 is an apocalyptic number.

4014489600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4014489600 is the 63360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014489600

4014489600 is an abundant number, since it is smaller than the sum of its proper divisors (12332409661).

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

4014489600 is an equidigital number, since it uses as much as digits as its factorization.

4014489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 4014489600 is about 1589.3154760792.

Multiplying 4014489600 by its sum of digits (36), we get a square (144521625600 = 380160²).

4014489600 divided by its sum of digits (36) gives a square (111513600 = 10560²).

The spelling of 4014489600 in words is "four billion, fourteen million, four hundred eighty-nine thousand, six hundred".