41013181440 has 704 divisors, whose sum is σ = 181765739520. Its totient is φ = 8520007680.

The previous prime is 41013181397. The next prime is 41013181441. The reversal of 41013181440 is 4418131014.

41013181440 is a `hidden beast` number, since 4 + 10 + 131 + 81 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41013181441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10642554 + ... + 10646406.

Almost surely, 2^41013181440 is an apocalyptic number.

41013181440 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 41013181440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90882869760).

41013181440 is an abundant number, since it is smaller than the sum of its proper divisors (140752558080).

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

41013181440 is a wasteful number, since it uses less digits than its factorization.

41013181440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 41013181440 in words is "forty-one billion, thirteen million, one hundred eighty-one thousand, four hundred forty".