41404240003200 has 1536 divisors, whose sum is σ = 152760340212480. Its totient is φ = 9809952768000.

The previous prime is 41404240003171. The next prime is 41404240003279. The reversal of 41404240003200 is 230004240414.

It is a happy number.

It is a super-2 number, since 2×41404240003200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 191 ways as a sum of consecutive naturals, for example, 46996866760 + ... + 46996867640.

Almost surely, 2^{41404240003200} is an apocalyptic number.

41404240003200 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 41404240003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76380170106240).

41404240003200 is an abundant number, since it is smaller than the sum of its proper divisors (111356100209280).

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

41404240003200 is a wasteful number, since it uses less digits than its factorization.

41404240003200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 41404240003200 its reverse (230004240414), we get a palindrome (41634244243614).

The spelling of 41404240003200 in words is "forty-one trillion, four hundred four billion, two hundred forty million, three thousand, two hundred".