4133042400 has 144 divisors (see below), whose sum is σ = 13654376064. Its totient is φ = 1085652480.

The previous prime is 4133042383. The next prime is 4133042411. The reversal of 4133042400 is 42403314.

4133042400 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147949 + ... + 173651.

It is an arithmetic number, because the mean of its divisors is an integer number (94822056).

Almost surely, 2^4133042400 is an apocalyptic number.

4133042400 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 4133042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6827188032).

4133042400 is an abundant number, since it is smaller than the sum of its proper divisors (9521333664).

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

4133042400 is a wasteful number, since it uses less digits than its factorization.

4133042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25793 (or 25780 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4133042400 is about 64288.7424048721. The cubic root of 4133042400 is about 1604.8087620673.

Adding to 4133042400 its reverse (42403314), we get a palindrome (4175445714).

The spelling of 4133042400 in words is "four billion, one hundred thirty-three million, forty-two thousand, four hundred".