41131114400 has 36 divisors (see below), whose sum is σ = 100411334982. Its totient is φ = 16452445440.

The previous prime is 41131114397. The next prime is 41131114403. The reversal of 41131114400 is 441113114.

It is an interprime number because it is at equal distance from previous prime (41131114397) and next prime (41131114403).

It can be written as a sum of positive squares in 3 ways, for example, as 16107671056 + 25023443344 = 126916^2 + 158188^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41131114403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25706147 + ... + 25707746.

Almost surely, 2^41131114400 is an apocalyptic number.

41131114400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41131114400 is an abundant number, since it is smaller than the sum of its proper divisors (59280220582).

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

41131114400 is a wasteful number, since it uses less digits than its factorization.

41131114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51413913 (or 51413900 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 41131114400 its reverse (441113114), we get a palindrome (41572227514).

The spelling of 41131114400 in words is "forty-one billion, one hundred thirty-one million, one hundred fourteen thousand, four hundred".