4412041440 has 96 divisors (see below), whose sum is σ = 14377214880. Its totient is φ = 1135970304.

The previous prime is 4412041423. The next prime is 4412041441. The reversal of 4412041440 is 441402144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4412041440² = 38932219336554547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4412041440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4412041441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144559 + ... + 172398.

It is an arithmetic number, because the mean of its divisors is an integer number (149762655).

Almost surely, 2^4412041440 is an apocalyptic number.

4412041440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4412041440 is an abundant number, since it is smaller than the sum of its proper divisors (9965173440).

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

4412041440 is a wasteful number, since it uses less digits than its factorization.

4412041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317004 (or 316996 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4412041440 is about 66423.1995615990. The cubic root of 4412041440 is about 1640.1359990331.

Adding to 4412041440 its reverse (441402144), we get a palindrome (4853443584).

The spelling of 4412041440 in words is "four billion, four hundred twelve million, forty-one thousand, four hundred forty".