4133950920 has 192 divisors, whose sum is σ = 14876447040. Its totient is φ = 987148800.

The previous prime is 4133950901. The next prime is 4133950921. The reversal of 4133950920 is 290593314.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4133950921) 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 47 ways as a sum of consecutive naturals, for example, 257530 + ... + 273110.

It is an arithmetic number, because the mean of its divisors is an integer number (77481495).

Almost surely, 2^4133950920 is an apocalyptic number.

4133950920 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 4133950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438223520).

4133950920 is an abundant number, since it is smaller than the sum of its proper divisors (10742496120).

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

4133950920 is a wasteful number, since it uses less digits than its factorization.

4133950920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15669 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 4133950920 is about 64295.8079504411. The cubic root of 4133950920 is about 1604.9263424432.

The spelling of 4133950920 in words is "four billion, one hundred thirty-three million, nine hundred fifty thousand, nine hundred twenty".