41133100400 has 120 divisors (see below), whose sum is σ = 113009909760. Its totient is φ = 14094017280.

The previous prime is 41133100373. The next prime is 41133100427. The reversal of 41133100400 is 400133114.

41133100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41133100373) and next prime (41133100427).

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, 5840081 + ... + 5847119.

It is an arithmetic number, because the mean of its divisors is an integer number (941749248).

Almost surely, 2^41133100400 is an apocalyptic number.

41133100400 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 41133100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504954880).

41133100400 is an abundant number, since it is smaller than the sum of its proper divisors (71876809360).

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

41133100400 is a wasteful number, since it uses less digits than its factorization.

41133100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 41133100400 its reverse (400133114), we get a palindrome (41533233514).

The spelling of 41133100400 in words is "forty-one billion, one hundred thirty-three million, one hundred thousand, four hundred".