1441004640 has 96 divisors (see below), whose sum is σ = 4603205376. Its totient is φ = 378846720.

The previous prime is 1441004603. The next prime is 1441004681. The reversal of 1441004640 is 464001441.

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

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 1441004640.

It is a congruent number.

It is an unprimeable number.

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, 12939 + ... + 55221.

It is an arithmetic number, because the mean of its divisors is an integer number (47950056).

Almost surely, 2^1441004640 is an apocalyptic number.

1441004640 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 1441004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301602688).

1441004640 is an abundant number, since it is smaller than the sum of its proper divisors (3162200736).

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

1441004640 is a wasteful number, since it uses less digits than its factorization.

1441004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42372 (or 42364 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1441004640 is about 37960.5669083063. The cubic root of 1441004640 is about 1129.5057853969.

The spelling of 1441004640 in words is "one billion, four hundred forty-one million, four thousand, six hundred forty".