4133792880 has 600 divisors, whose sum is σ = 17118243648. Its totient is φ = 921424896.

The previous prime is 4133792851. The next prime is 4133792881. The reversal of 4133792880 is 882973314.

4133792880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (4133792881) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14923302 + ... + 14923578.

Almost surely, 2^4133792880 is an apocalyptic number.

4133792880 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 4133792880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559121824).

4133792880 is an abundant number, since it is smaller than the sum of its proper divisors (12984450768).

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

4133792880 is a wasteful number, since it uses less digits than its factorization.

4133792880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4133792880 is about 64294.5789316642. The cubic root of 4133792880 is about 1604.9058901934.

The spelling of 4133792880 in words is "four billion, one hundred thirty-three million, seven hundred ninety-two thousand, eight hundred eighty".