41113340400 has 240 divisors, whose sum is σ = 147178579968. Its totient is φ = 9723648000.

The previous prime is 41113340393. The next prime is 41113340453. The reversal of 41113340400 is 404331114.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 503217 + ... + 579183.

Almost surely, 2^41113340400 is an apocalyptic number.

41113340400 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 41113340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73589289984).

41113340400 is an abundant number, since it is smaller than the sum of its proper divisors (106065239568).

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

41113340400 is a wasteful number, since it uses less digits than its factorization.

41113340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76040 (or 76029 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 41113340400 its reverse (404331114), we get a palindrome (41517671514).

The spelling of 41113340400 in words is "forty-one billion, one hundred thirteen million, three hundred forty thousand, four hundred".