41433430020224 has 128 divisors (see below), whose sum is σ = 90191169895680. Its totient is φ = 18803259228160.

The previous prime is 41433430020209. The next prime is 41433430020313. The reversal of 41433430020224 is 42202003433414.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5008267352 + ... + 5008275624.

It is an arithmetic number, because the mean of its divisors is an integer number (704618514810).

Almost surely, 2^{41433430020224} is an apocalyptic number.

41433430020224 is a gapful number since it is divisible by the number (44) 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 41433430020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45095584947840).

41433430020224 is an abundant number, since it is smaller than the sum of its proper divisors (48757739875456).

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

41433430020224 is a wasteful number, since it uses less digits than its factorization.

41433430020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13558 (or 13546 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 41433430020224 its reverse (42202003433414), we get a palindrome (83635433453638).

The spelling of 41433430020224 in words is "forty-one trillion, four hundred thirty-three billion, four hundred thirty million, twenty thousand, two hundred twenty-four".