41124402112400 has 60 divisors (see below), whose sum is σ = 104613221743812. Its totient is φ = 15482127851520.

The previous prime is 41124402112393. The next prime is 41124402112457. The reversal of 41124402112400 is 421120442114.

It can be written as a sum of positive squares in 6 ways, for example, as 2655547024 + 41121746565376 = 51532^2 + 6412624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41124402112400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3023846297 + ... + 3023859896.

Almost surely, 2^{41124402112400} is an apocalyptic number.

41124402112400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41124402112400 is an abundant number, since it is smaller than the sum of its proper divisors (63488819631412).

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

41124402112400 is a wasteful number, since it uses less digits than its factorization.

41124402112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047706228 (or 6047706217 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 41124402112400 its reverse (421120442114), we get a palindrome (41545522554514).

The spelling of 41124402112400 in words is "forty-one trillion, one hundred twenty-four billion, four hundred two million, one hundred twelve thousand, four hundred".