41013412400 has 60 divisors (see below), whose sum is σ = 101932501200. Its totient is φ = 15839658240.

The previous prime is 41013412387. The next prime is 41013412421. The reversal of 41013412400 is 421431014.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1756220 + ... + 1779419.

It is an arithmetic number, because the mean of its divisors is an integer number (1698875020).

Almost surely, 2^41013412400 is an apocalyptic number.

41013412400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41013412400 is an abundant number, since it is smaller than the sum of its proper divisors (60919088800).

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

41013412400 is a wasteful number, since it uses less digits than its factorization.

41013412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535686 (or 3535675 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 41013412400 its reverse (421431014), we get a palindrome (41434843414).

The spelling of 41013412400 in words is "forty-one billion, thirteen million, four hundred twelve thousand, four hundred".