1440941040 has 720 divisors, whose sum is σ = 6351022080. Its totient is φ = 289336320.

The previous prime is 1440941003. The next prime is 1440941041. The reversal of 1440941040 is 401490441.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1440941040² = 4152622161512563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1440940995 and 1440941013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440941041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18239721 + ... + 18239799.

It is an arithmetic number, because the mean of its divisors is an integer number (8820864).

Almost surely, 2^1440941040 is an apocalyptic number.

1440941040 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 1440941040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3175511040).

1440941040 is an abundant number, since it is smaller than the sum of its proper divisors (4910081040).

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

1440941040 is a wasteful number, since it uses less digits than its factorization.

1440941040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1440941040 is about 37959.7291876536. The cubic root of 1440941040 is about 1129.4891679105.

The spelling of 1440941040 in words is "one billion, four hundred forty million, nine hundred forty-one thousand, forty".