41313666144400 has 240 divisors, whose sum is σ = 109965415262976. Its totient is φ = 14821144565760.

The previous prime is 41313666144391. The next prime is 41313666144403. The reversal of 41313666144400 is 444166631314.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (41313666144403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27659109 + ... + 29114491.

Almost surely, 2^{41313666144400} is an apocalyptic number.

41313666144400 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 41313666144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54982707631488).

41313666144400 is an abundant number, since it is smaller than the sum of its proper divisors (68651749118576).

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

41313666144400 is a wasteful number, since it uses less digits than its factorization.

41313666144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455570 (or 1455559 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 41313666144400 in words is "forty-one trillion, three hundred thirteen billion, six hundred sixty-six million, one hundred forty-four thousand, four hundred".