41144636640 has 192 divisors, whose sum is σ = 133044109632. Its totient is φ = 10684416000.

The previous prime is 41144636627. The next prime is 41144636641. The reversal of 41144636640 is 4663644114.

It is a super-2 number, since 2×41144636640² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41144636641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2950324 + ... + 2964236.

It is an arithmetic number, because the mean of its divisors is an integer number (692938071).

Almost surely, 2^41144636640 is an apocalyptic number.

41144636640 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 41144636640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66522054816).

41144636640 is an abundant number, since it is smaller than the sum of its proper divisors (91899472992).

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

41144636640 is a wasteful number, since it uses less digits than its factorization.

41144636640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14093 (or 14085 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 41144636640 in words is "forty-one billion, one hundred forty-four million, six hundred thirty-six thousand, six hundred forty".