41434311440 has 80 divisors (see below), whose sum is σ = 99921729600. Its totient is φ = 15959655936.

The previous prime is 41434311437. The next prime is 41434311449. The reversal of 41434311440 is 4411343414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (41434311449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 855719 + ... + 902841.

It is an arithmetic number, because the mean of its divisors is an integer number (1249021620).

Almost surely, 2^41434311440 is an apocalyptic number.

41434311440 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 41434311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49960864800).

41434311440 is an abundant number, since it is smaller than the sum of its proper divisors (58487418160).

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

41434311440 is a wasteful number, since it uses less digits than its factorization.

41434311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47544 (or 47538 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 41434311440 its reverse (4411343414), we get a palindrome (45845654854).

The spelling of 41434311440 in words is "forty-one billion, four hundred thirty-four million, three hundred eleven thousand, four hundred forty".