43444401000 has 2048 divisors, whose sum is σ = 206510653440. Its totient is φ = 7299072000.

The previous prime is 43444400981. The next prime is 43444401043. The reversal of 43444401000 is 10444434.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1174172982 + ... + 1174173018.

It is an arithmetic number, because the mean of its divisors is an integer number (100835280).

Almost surely, 2^43444401000 is an apocalyptic number.

43444401000 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 43444401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103255326720).

43444401000 is an abundant number, since it is smaller than the sum of its proper divisors (163066252440).

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

43444401000 is a wasteful number, since it uses less digits than its factorization.

43444401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 43444401000 its reverse (10444434), we get a palindrome (43454845434).

It can be divided in two parts, 43444 and 401000, that added together give a palindrome (444444).

The spelling of 43444401000 in words is "forty-three billion, four hundred forty-four million, four hundred one thousand".