44141600 has 72 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 16881920.

The previous prime is 44141599. The next prime is 44141611. The reversal of 44141600 is 614144.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17201 + ... + 19599.

It is an arithmetic number, because the mean of its divisors is an integer number (1562400).

Almost surely, 2^44141600 is an apocalyptic number.

44141600 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 44141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

44141600 is an abundant number, since it is smaller than the sum of its proper divisors (68351200).

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

44141600 is a wasteful number, since it uses less digits than its factorization.

44141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 44141600 is about 6643.9145087817. The cubic root of 44141600 is about 353.4131380989.

Adding to 44141600 its reverse (614144), we get a palindrome (44755744).

The spelling of 44141600 in words is "forty-four million, one hundred forty-one thousand, six hundred".