41341743744 has 384 divisors, whose sum is σ = 131210352000. Its totient is φ = 11496038400.

The previous prime is 41341743727. The next prime is 41341743757. The reversal of 41341743744 is 44734714314.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41341743696 and 41341743705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207747357 + ... + 207747555.

It is an arithmetic number, because the mean of its divisors is an integer number (341693625).

Almost surely, 2^41341743744 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 41341743744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65605176000).

41341743744 is an abundant number, since it is smaller than the sum of its proper divisors (89868608256).

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

41341743744 is a wasteful number, since it uses less digits than its factorization.

41341743744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The spelling of 41341743744 in words is "forty-one billion, three hundred forty-one million, seven hundred forty-three thousand, seven hundred forty-four".