41141140400 has 60 divisors (see below), whose sum is σ = 99111266592. Its totient is φ = 16411557120.

The previous prime is 41141140399. The next prime is 41141140421. The reversal of 41141140400 is 404114114.

It is a happy number.

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6674 + ... + 286926.

Almost surely, 2^41141140400 is an apocalyptic number.

41141140400 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 41141140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49555633296).

41141140400 is an abundant number, since it is smaller than the sum of its proper divisors (57970126192).

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

41141140400 is a wasteful number, since it uses less digits than its factorization.

41141140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280638 (or 280627 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41141140400 its reverse (404114114), we get a palindrome (41545254514).

The spelling of 41141140400 in words is "forty-one billion, one hundred forty-one million, one hundred forty thousand, four hundred".