41301012202240 has 288 divisors, whose sum is σ = 117297511188480. Its totient is φ = 13632628703232.

The previous prime is 41301012202183. The next prime is 41301012202277. The reversal of 41301012202240 is 4220221010314.

It is a super-2 number, since 2×41301012202240² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89935449 + ... + 90393511.

It is an arithmetic number, because the mean of its divisors is an integer number (407283024960).

Almost surely, 2^{41301012202240} is an apocalyptic number.

41301012202240 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 41301012202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58648755594240).

41301012202240 is an abundant number, since it is smaller than the sum of its proper divisors (75996498986240).

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

41301012202240 is a wasteful number, since it uses less digits than its factorization.

41301012202240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458467 (or 458453 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 41301012202240 its reverse (4220221010314), we get a palindrome (45521233212554).

The spelling of 41301012202240 in words is "forty-one trillion, three hundred one billion, twelve million, two hundred two thousand, two hundred forty".