4144296960 has 264 divisors, whose sum is σ = 14896199136. Its totient is φ = 1104814080.

The previous prime is 4144296917. The next prime is 4144296971. The reversal of 4144296960 is 696924414.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242495 + ... + 1245825.

Almost surely, 2^4144296960 is an apocalyptic number.

4144296960 is a gapful number since it is divisible by the number (40) 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 4144296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7448099568).

4144296960 is an abundant number, since it is smaller than the sum of its proper divisors (10751902176).

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

4144296960 is an equidigital number, since it uses as much as digits as its factorization.

4144296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3371 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 4144296960 is about 64376.2142409757. The cubic root of 4144296960 is about 1606.2641102386.

The spelling of 4144296960 in words is "four billion, one hundred forty-four million, two hundred ninety-six thousand, nine hundred sixty".