1440631856664 has 2304 divisors, whose sum is σ = 6002247744000. Its totient is φ = 315200471040.

The previous prime is 1440631856623. The next prime is 1440631856743. The reversal of 1440631856664 is 4666581360441.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1440631856664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19734682932 + ... + 19734683004.

It is an arithmetic number, because the mean of its divisors is an integer number (2605142250).

Almost surely, 2^{1440631856664} is an apocalyptic number.

1440631856664 is a gapful number since it is divisible by the number (14) 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 1440631856664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001123872000).

1440631856664 is an abundant number, since it is smaller than the sum of its proper divisors (4561615887336).

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

1440631856664 is a wasteful number, since it uses less digits than its factorization.

1440631856664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 1440631856664 in words is "one trillion, four hundred forty billion, six hundred thirty-one million, eight hundred fifty-six thousand, six hundred sixty-four".