41433414240000 has 360 divisors, whose sum is σ = 137833899033600. Its totient is φ = 11045993984000.

The previous prime is 41433414239999. The next prime is 41433414240073. The reversal of 41433414240000 is 4241433414.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41433414240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2303511007 + ... + 2303528993.

It is an arithmetic number, because the mean of its divisors is an integer number (382871941760).

Almost surely, 2^{41433414240000} is an apocalyptic number.

41433414240000 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 41433414240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68916949516800).

41433414240000 is an abundant number, since it is smaller than the sum of its proper divisors (96400484793600).

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

41433414240000 is an equidigital number, since it uses as much as digits as its factorization.

41433414240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22825 (or 22796 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 41433414240000 its reverse (4241433414), we get a palindrome (41437655673414).

The spelling of 41433414240000 in words is "forty-one trillion, four hundred thirty-three billion, four hundred fourteen million, two hundred forty thousand".