4033122400 has 72 divisors (see below), whose sum is σ = 10364102280. Its totient is φ = 1528335360.

The previous prime is 4033122389. The next prime is 4033122403. The reversal of 4033122400 is 42213304.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4033122403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117469 + ... + 147868.

It is an arithmetic number, because the mean of its divisors is an integer number (143945865).

Almost surely, 2^4033122400 is an apocalyptic number.

4033122400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4033122400 is an abundant number, since it is smaller than the sum of its proper divisors (6330979880).

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

4033122400 is a wasteful number, since it uses less digits than its factorization.

4033122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265376 (or 265363 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 4033122400 is about 63506.8689198263. The cubic root of 4033122400 is about 1591.7705577439.

Adding to 4033122400 its reverse (42213304), we get a palindrome (4075335704).

The spelling of 4033122400 in words is "four billion, thirty-three million, one hundred twenty-two thousand, four hundred".