1440056640 has 448 divisors, whose sum is σ = 5309079552. Its totient is φ = 327475200.

The previous prime is 1440056623. The next prime is 1440056647. The reversal of 1440056640 is 466500441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1440056598 and 1440056607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440056647) 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 63 ways as a sum of consecutive naturals, for example, 17350039 + ... + 17350121.

It is an arithmetic number, because the mean of its divisors is an integer number (11850624).

Almost surely, 2^1440056640 is an apocalyptic number.

1440056640 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 1440056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2654539776).

1440056640 is an abundant number, since it is smaller than the sum of its proper divisors (3869022912).

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

1440056640 is a wasteful number, since it uses less digits than its factorization.

1440056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 1440056640 is about 37948.0782122099. The cubic root of 1440056640 is about 1129.2580400966.

The spelling of 1440056640 in words is "one billion, four hundred forty million, fifty-six thousand, six hundred forty".