4153503744 has 364 divisors, whose sum is σ = 13536577656. Its totient is φ = 1266057216.

The previous prime is 4153503719. The next prime is 4153503749. The reversal of 4153503744 is 4473053514.

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 = 4153503699 and 4153503708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153503749) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 38817739 + ... + 38817845.

Almost surely, 2^4153503744 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 4153503744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6768288828).

4153503744 is an abundant number, since it is smaller than the sum of its proper divisors (9383073912).

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

4153503744 is an equidigital number, since it uses as much as digits as its factorization.

4153503744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4153503744 is about 64447.6822236456. The cubic root of 4153503744 is about 1607.4526985703.

The spelling of 4153503744 in words is "four billion, one hundred fifty-three million, five hundred three thousand, seven hundred forty-four".