41111444000 has 432 divisors, whose sum is σ = 116127510408. Its totient is φ = 14291200000.

The previous prime is 41111443991. The next prime is 41111444071. The reversal of 41111444000 is 44411114.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 447914896 + 40663529104 = 21164^2 + 201652^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407043950 + ... + 407044050.

Almost surely, 2^41111444000 is an apocalyptic number.

41111444000 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 41111444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58063755204).

41111444000 is an abundant number, since it is smaller than the sum of its proper divisors (75016066408).

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

41111444000 is a wasteful number, since it uses less digits than its factorization.

41111444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 41111444000 its reverse (44411114), we get a palindrome (41155855114).

It can be divided in two parts, 411 and 11444000, that added together give a palindrome (11444411).

The spelling of 41111444000 in words is "forty-one billion, one hundred eleven million, four hundred forty-four thousand".