41012520442400 has 288 divisors, whose sum is σ = 111345156453888. Its totient is φ = 14648872550400.

The previous prime is 41012520442393. The next prime is 41012520442433. The reversal of 41012520442400 is 424402521014.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872713304 + ... + 872760296.

It is an arithmetic number, because the mean of its divisors is an integer number (386615126576).

Almost surely, 2^{41012520442400} is an apocalyptic number.

41012520442400 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 41012520442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55672578226944).

41012520442400 is an abundant number, since it is smaller than the sum of its proper divisors (70332636011488).

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

41012520442400 is a wasteful number, since it uses less digits than its factorization.

41012520442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49764 (or 49751 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 41012520442400 its reverse (424402521014), we get a palindrome (41436922963414).

The spelling of 41012520442400 in words is "forty-one trillion, twelve billion, five hundred twenty million, four hundred forty-two thousand, four hundred".