4133144320 has 108 divisors (see below), whose sum is σ = 10039690584. Its totient is φ = 1630187520.

The previous prime is 4133144317. The next prime is 4133144333. The reversal of 4133144320 is 234413314.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26325682 + ... + 26325838.

It is an arithmetic number, because the mean of its divisors is an integer number (92960098).

Almost surely, 2^4133144320 is an apocalyptic number.

4133144320 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 4133144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019845292).

4133144320 is an abundant number, since it is smaller than the sum of its proper divisors (5906546264).

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

4133144320 is an equidigital number, since it uses as much as digits as its factorization.

4133144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4133144320 is about 64289.5350737583. The cubic root of 4133144320 is about 1604.8219533800.

Adding to 4133144320 its reverse (234413314), we get a palindrome (4367557634).

The spelling of 4133144320 in words is "four billion, one hundred thirty-three million, one hundred forty-four thousand, three hundred twenty".