41400743837940 has 1152 divisors, whose sum is σ = 147448606556160. Its totient is φ = 9339040972800.

The previous prime is 41400743837881. The next prime is 41400743837941. The reversal of 41400743837940 is 4973834700414.

It is a happy number.

41400743837940 is a `hidden beast` number, since 4 + 1 + 400 + 74 + 3 + 83 + 7 + 94 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41400743837941) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10378725466 + ... + 10378729454.

It is an arithmetic number, because the mean of its divisors is an integer number (127993582080).

Almost surely, 2^{41400743837940} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41400743837940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73724303278080).

41400743837940 is an abundant number, since it is smaller than the sum of its proper divisors (106047862718220).

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

41400743837940 is a wasteful number, since it uses less digits than its factorization.

41400743837940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4208 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 41400743837940 in words is "forty-one trillion, four hundred billion, seven hundred forty-three million, eight hundred thirty-seven thousand, nine hundred forty".