4233981024 has 480 divisors, whose sum is σ = 15613446240. Its totient is φ = 1109541888.

The previous prime is 4233981001. The next prime is 4233981029. The reversal of 4233981024 is 4201893324.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4233981024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233981029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26967954 + ... + 26968110.

It is an arithmetic number, because the mean of its divisors is an integer number (32528013).

Almost surely, 2^4233981024 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 4233981024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7806723120).

4233981024 is an abundant number, since it is smaller than the sum of its proper divisors (11379465216).

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

4233981024 is a wasteful number, since it uses less digits than its factorization.

4233981024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4233981024 is about 65069.0481258179. The cubic root of 4233981024 is about 1617.7682300006.

The spelling of 4233981024 in words is "four billion, two hundred thirty-three million, nine hundred eighty-one thousand, twenty-four".