4133425920 has 288 divisors, whose sum is σ = 14680694784. Its totient is φ = 984268800.

The previous prime is 4133425897. The next prime is 4133425921. The reversal of 4133425920 is 295243314.

It is a super-2 number, since 2×4133425920² = 34170419672255692800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4133425921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1546185 + ... + 1548855.

Almost surely, 2^4133425920 is an apocalyptic number.

4133425920 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 4133425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340347392).

4133425920 is an abundant number, since it is smaller than the sum of its proper divisors (10547268864).

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

4133425920 is a wasteful number, since it uses less digits than its factorization.

4133425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2739 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 4133425920 is about 64291.7251285109. The cubic root of 4133425920 is about 1604.8583992079.

The spelling of 4133425920 in words is "four billion, one hundred thirty-three million, four hundred twenty-five thousand, nine hundred twenty".