1440249610816 has 63 divisors (see below), whose sum is σ = 2902585009779. Its totient is φ = 709059846528.

The previous prime is 1440249610783. The next prime is 1440249610853. The reversal of 1440249610816 is 6180169420441.

The square root of 1440249610816 is 1200104.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 643254625 + ... + 643256863.

It is an arithmetic number, because the mean of its divisors is an integer number (46072777933).

Almost surely, 2^{1440249610816} is an apocalyptic number.

1440249610816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1440249610816 is the 1200104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440249610816

1440249610816 is an abundant number, since it is smaller than the sum of its proper divisors (1462335398963).

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

1440249610816 is an frugal number, since it uses more digits than its factorization.

1440249610816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4624 (or 2308 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 1440249610816 in words is "one trillion, four hundred forty billion, two hundred forty-nine million, six hundred ten thousand, eight hundred sixteen".