4464912144 has 480 divisors, whose sum is σ = 15958978560. Its totient is φ = 1059609600.

The previous prime is 4464912139. The next prime is 4464912149. The reversal of 4464912144 is 4412194644.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4464912139) and next prime (4464912149).

It is not an unprimeable number, because it can be changed into a prime (4464912149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15238462 + ... + 15238754.

It is an arithmetic number, because the mean of its divisors is an integer number (33247872).

Almost surely, 2^4464912144 is an apocalyptic number.

4464912144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4464912144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7979489280).

4464912144 is an abundant number, since it is smaller than the sum of its proper divisors (11494066416).

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

4464912144 is a wasteful number, since it uses less digits than its factorization.

4464912144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 366 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 4464912144 is about 66819.9980844058. The cubic root of 4464912144 is about 1646.6614027999.

The spelling of 4464912144 in words is "four billion, four hundred sixty-four million, nine hundred twelve thousand, one hundred forty-four".