4033401320 has 192 divisors, whose sum is σ = 10688371200. Its totient is φ = 1364014080.

The previous prime is 4033401293. The next prime is 4033401331. The reversal of 4033401320 is 231043304.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4033401292 and 4033401301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981134 + ... + 3982146.

It is an arithmetic number, because the mean of its divisors is an integer number (55668600).

Almost surely, 2^4033401320 is an apocalyptic number.

4033401320 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 4033401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344185600).

4033401320 is an abundant number, since it is smaller than the sum of its proper divisors (6654969880).

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

4033401320 is a wasteful number, since it uses less digits than its factorization.

4033401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 4033401320 is about 63509.0648647892. The cubic root of 4033401320 is about 1591.8072511017.

Adding to 4033401320 its reverse (231043304), we get a palindrome (4264444624).

The spelling of 4033401320 in words is "four billion, thirty-three million, four hundred one thousand, three hundred twenty".