41244224640 has 128 divisors (see below), whose sum is σ = 132056870400. Its totient is φ = 10949025792.

The previous prime is 41244224633. The next prime is 41244224641. The reversal of 41244224640 is 4642244214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×41244224640³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (41244224641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379996 + ... + 476324.

It is an arithmetic number, because the mean of its divisors is an integer number (1031694300).

Almost surely, 2^41244224640 is an apocalyptic number.

41244224640 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 41244224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66028435200).

41244224640 is an abundant number, since it is smaller than the sum of its proper divisors (90812645760).

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

41244224640 is a wasteful number, since it uses less digits than its factorization.

41244224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96574 (or 96562 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 41244224640 its reverse (4642244214), we get a palindrome (45886468854).

The spelling of 41244224640 in words is "forty-one billion, two hundred forty-four million, two hundred twenty-four thousand, six hundred forty".