41200321225440 has 384 divisors, whose sum is σ = 140796646889472. Its totient is φ = 10066800844800.

The previous prime is 41200321225439. The next prime is 41200321225451. The reversal of 41200321225440 is 4452212300214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41200321225398 and 41200321225407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293679597 + ... + 1293711443.

It is an arithmetic number, because the mean of its divisors is an integer number (366657934608).

Almost surely, 2^{41200321225440} is an apocalyptic number.

41200321225440 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 41200321225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70398323444736).

41200321225440 is an abundant number, since it is smaller than the sum of its proper divisors (99596325664032).

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

41200321225440 is a wasteful number, since it uses less digits than its factorization.

41200321225440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33402 (or 33394 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 41200321225440 its reverse (4452212300214), we get a palindrome (45652533525654).

The spelling of 41200321225440 in words is "forty-one trillion, two hundred billion, three hundred twenty-one million, two hundred twenty-five thousand, four hundred forty".