4233012480 has 288 divisors, whose sum is σ = 15311358720. Its totient is φ = 1107025920.

The previous prime is 4233012449. The next prime is 4233012517. The reversal of 4233012480 is 842103324.

It is a tau number, because it is divible by the number of its divisors (288).

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, 1830525 + ... + 1832835.

It is an arithmetic number, because the mean of its divisors is an integer number (53164440).

Almost surely, 2^4233012480 is an apocalyptic number.

4233012480 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 4233012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7655679360).

4233012480 is an abundant number, since it is smaller than the sum of its proper divisors (11078346240).

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

4233012480 is a wasteful number, since it uses less digits than its factorization.

4233012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4233012480 is about 65061.6052676231. The cubic root of 4233012480 is about 1617.6448631113.

The spelling of 4233012480 in words is "four billion, two hundred thirty-three million, twelve thousand, four hundred eighty".