1440241020 has 192 divisors, whose sum is σ = 4780339200. Its totient is φ = 358732800.

The previous prime is 1440241013. The next prime is 1440241031. The reversal of 1440241020 is 201420441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1440240984 and 1440241002.

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 63 ways as a sum of consecutive naturals, for example, 1385661 + ... + 1386699.

It is an arithmetic number, because the mean of its divisors is an integer number (24897600).

Almost surely, 2^1440241020 is an apocalyptic number.

1440241020 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 1440241020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2390169600).

1440241020 is an abundant number, since it is smaller than the sum of its proper divisors (3340098180).

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

1440241020 is a wasteful number, since it uses less digits than its factorization.

1440241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1440241020 is about 37950.5075064880. The cubic root of 1440241020 is about 1129.3062335047.

Adding to 1440241020 its reverse (201420441), we get a palindrome (1641661461).

The spelling of 1440241020 in words is "one billion, four hundred forty million, two hundred forty-one thousand, twenty".