4153319984 has 120 divisors (see below), whose sum is σ = 9270073344. Its totient is φ = 1785888000.

The previous prime is 4153319983. The next prime is 4153320001. The reversal of 4153319984 is 4899133514.

4153319984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4153319981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15325769 + ... + 15326039.

Almost surely, 2^4153319984 is an apocalyptic number.

4153319984 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 4153319984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635036672).

4153319984 is an abundant number, since it is smaller than the sum of its proper divisors (5116753360).

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

4153319984 is a wasteful number, since it uses less digits than its factorization.

4153319984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 368 counting only the distinct ones).

The product of its digits is 466560, while the sum is 47.

The square root of 4153319984 is about 64446.2565553656. The cubic root of 4153319984 is about 1607.4289924913.

The spelling of 4153319984 in words is "four billion, one hundred fifty-three million, three hundred nineteen thousand, nine hundred eighty-four".