1441729744 has 240 divisors, whose sum is σ = 3799163088. Its totient is φ = 523321344.

The previous prime is 1441729739. The next prime is 1441729759. The reversal of 1441729744 is 4479271441.

It can be written as a sum of positive squares in 8 ways, for example, as 2286144 + 1439443600 = 1512^2 + 37940^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1441729744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9182914 + ... + 9183070.

Almost surely, 2^1441729744 is an apocalyptic number.

1441729744 is a gapful number since it is divisible by the number (14) 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 1441729744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899581544).

1441729744 is an abundant number, since it is smaller than the sum of its proper divisors (2357433344).

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

1441729744 is a wasteful number, since it uses less digits than its factorization.

1441729744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 249 counting only the distinct ones).

The product of its digits is 225792, while the sum is 43.

The square root of 1441729744 is about 37970.1164601848. The cubic root of 1441729744 is about 1129.6952069077.

The spelling of 1441729744 in words is "one billion, four hundred forty-one million, seven hundred twenty-nine thousand, seven hundred forty-four".