1440121440 has 96 divisors (see below), whose sum is σ = 4692854880. Its totient is φ = 370786304.

The previous prime is 1440121439. The next prime is 1440121447. The reversal of 1440121440 is 441210441.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440121447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37809 + ... + 65648.

It is an arithmetic number, because the mean of its divisors is an integer number (48883905).

Almost surely, 2^1440121440 is an apocalyptic number.

1440121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1440121440 is an abundant number, since it is smaller than the sum of its proper divisors (3252733440).

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

1440121440 is a wasteful number, since it uses less digits than its factorization.

1440121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103504 (or 103496 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1440121440 is about 37948.9320007823. The cubic root of 1440121440 is about 1129.2749780469.

Adding to 1440121440 its reverse (441210441), we get a palindrome (1881331881).

The spelling of 1440121440 in words is "one billion, four hundred forty million, one hundred twenty-one thousand, four hundred forty".