41314102400 has 48 divisors (see below), whose sum is σ = 102058751490. Its totient is φ = 16525639680.

The previous prime is 41314102399. The next prime is 41314102421. The reversal of 41314102400 is 420141314.

It can be written as a sum of positive squares in 3 ways, for example, as 40041610816 + 1272491584 = 200104^2 + 35672^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6452129 + ... + 6458528.

Almost surely, 2^41314102400 is an apocalyptic number.

41314102400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41314102400 is an abundant number, since it is smaller than the sum of its proper divisors (60744649090).

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

41314102400 is a wasteful number, since it uses less digits than its factorization.

41314102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12910681 (or 12910664 counting only the distinct ones).

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

Adding to 41314102400 its reverse (420141314), we get a palindrome (41734243714).

The spelling of 41314102400 in words is "forty-one billion, three hundred fourteen million, one hundred two thousand, four hundred".