41184194040 has 864 divisors, whose sum is σ = 162684653040. Its totient is φ = 9361059840.

The previous prime is 41184194039. The next prime is 41184194053. The reversal of 41184194040 is 4049148114.

It is a super-2 number, since 2×41184194040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41184193986 and 41184194004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 424579272 + ... + 424579368.

Almost surely, 2^41184194040 is an apocalyptic number.

41184194040 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 41184194040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81342326520).

41184194040 is an abundant number, since it is smaller than the sum of its proper divisors (121500459000).

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

41184194040 is a wasteful number, since it uses less digits than its factorization.

41184194040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 41184194040 in words is "forty-one billion, one hundred eighty-four million, one hundred ninety-four thousand, forty".