1440564048 has 480 divisors, whose sum is σ = 5404098560. Its totient is φ = 359251200.

The previous prime is 1440564023. The next prime is 1440564061. The reversal of 1440564048 is 8404650441.

It is a happy number.

1440564048 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 5 + 640 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11342961 + ... + 11343087.

Almost surely, 2^1440564048 is an apocalyptic number.

1440564048 is a gapful number since it is divisible by the number (18) 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 1440564048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702049280).

1440564048 is an abundant number, since it is smaller than the sum of its proper divisors (3963534512).

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

1440564048 is a wasteful number, since it uses less digits than its factorization.

1440564048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1440564048 is about 37954.7631793429. The cubic root of 1440564048 is about 1129.3906569355.

The spelling of 1440564048 in words is "one billion, four hundred forty million, five hundred sixty-four thousand, forty-eight".