4014936144 has 120 divisors (see below), whose sum is σ = 11549915520. Its totient is φ = 1301239296.

The previous prime is 4014936137. The next prime is 4014936173. The reversal of 4014936144 is 4416394104.

It is a happy number.

It is a super-2 number, since 2×4014936144² = 32239424480795177472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4014936099 and 4014936108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478532 + ... + 1481244.

It is an arithmetic number, because the mean of its divisors is an integer number (96249296).

Almost surely, 2^4014936144 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 4014936144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774957760).

4014936144 is an abundant number, since it is smaller than the sum of its proper divisors (7534979376).

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

4014936144 is a wasteful number, since it uses less digits than its factorization.

4014936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4014936144 is about 63363.5237656493. The cubic root of 4014936144 is about 1589.3744020406.

The spelling of 4014936144 in words is "four billion, fourteen million, nine hundred thirty-six thousand, one hundred forty-four".