4233962880 has 1024 divisors, whose sum is σ = 19035648000. Its totient is φ = 867041280.

The previous prime is 4233962861. The next prime is 4233962881. The reversal of 4233962880 is 882693324.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4233962881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59633245 + ... + 59633315.

It is an arithmetic number, because the mean of its divisors is an integer number (18589500).

Almost surely, 2^4233962880 is an apocalyptic number.

4233962880 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 4233962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9517824000).

4233962880 is an abundant number, since it is smaller than the sum of its proper divisors (14801685120).

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

4233962880 is a wasteful number, since it uses less digits than its factorization.

4233962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4233962880 is about 65068.9087045418. The cubic root of 4233962880 is about 1617.7659191078.

The spelling of 4233962880 in words is "four billion, two hundred thirty-three million, nine hundred sixty-two thousand, eight hundred eighty".