1444731640 has 64 divisors (see below), whose sum is σ = 3564933120. Its totient is φ = 522576000.

The previous prime is 1444731619. The next prime is 1444731641. The reversal of 1444731640 is 461374441.

It is a junction number, because it is equal to n+sod(n) for n = 1444731596 and 1444731605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444731641) 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, 75445 + ... + 92635.

It is an arithmetic number, because the mean of its divisors is an integer number (55702080).

Almost surely, 2^1444731640 is an apocalyptic number.

1444731640 is a gapful number since it is divisible by the number (10) 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 1444731640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782466560).

1444731640 is an abundant number, since it is smaller than the sum of its proper divisors (2120201480).

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

1444731640 is a wasteful number, since it uses less digits than its factorization.

1444731640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17404 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 1444731640 is about 38009.6256229919. The cubic root of 1444731640 is about 1130.4787279006.

The spelling of 1444731640 in words is "one billion, four hundred forty-four million, seven hundred thirty-one thousand, six hundred forty".