4153144320 has 352 divisors, whose sum is σ = 15901751040. Its totient is φ = 1021870080.

The previous prime is 4153144309. The next prime is 4153144349. The reversal of 4153144320 is 234413514.

It is a happy number.

4153144320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1795965 + ... + 1798275.

Almost surely, 2^4153144320 is an apocalyptic number.

4153144320 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 4153144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7950875520).

4153144320 is an abundant number, since it is smaller than the sum of its proper divisors (11748606720).

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

4153144320 is a wasteful number, since it uses less digits than its factorization.

4153144320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4153144320 is about 64444.8936689324. The cubic root of 4153144320 is about 1607.4063301883.

Adding to 4153144320 its reverse (234413514), we get a palindrome (4387557834).

The spelling of 4153144320 in words is "four billion, one hundred fifty-three million, one hundred forty-four thousand, three hundred twenty".