1440882027648 has 1280 divisors, whose sum is σ = 5474871705600. Its totient is φ = 366828134400.

The previous prime is 1440882027619. The next prime is 1440882027677. The reversal of 1440882027648 is 8467202880441.

It is an interprime number because it is at equal distance from previous prime (1440882027619) and next prime (1440882027677).

It is a super-2 number, since 2×1440882027648² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1440882027594 and 1440882027603.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1581648313 + ... + 1581649223.

It is an arithmetic number, because the mean of its divisors is an integer number (4277243520).

Almost surely, 2^{1440882027648} is an apocalyptic number.

1440882027648 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 1440882027648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737435852800).

1440882027648 is an abundant number, since it is smaller than the sum of its proper divisors (4033989677952).

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

1440882027648 is a wasteful number, since it uses less digits than its factorization.

1440882027648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 1440882027648 in words is "one trillion, four hundred forty billion, eight hundred eighty-two million, twenty-seven thousand, six hundred forty-eight".