1440041331456 has 2304 divisors, whose sum is σ = 5977767936000. Its totient is φ = 333056655360.

The previous prime is 1440041331373. The next prime is 1440041331511. The reversal of 1440041331456 is 6541331400441.

1440041331456 is a `hidden beast` number, since 1 + 440 + 0 + 41 + 33 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1440041331456.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 46452946161 + ... + 46452946191.

Almost surely, 2^{1440041331456} is an apocalyptic number.

1440041331456 is a gapful number since it is divisible by the number (16) 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 1440041331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988883968000).

1440041331456 is an abundant number, since it is smaller than the sum of its proper divisors (4537726604544).

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

1440041331456 is a wasteful number, since it uses less digits than its factorization.

1440041331456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1440041331456 its reverse (6541331400441), we get a palindrome (7981372731897).

The spelling of 1440041331456 in words is "one trillion, four hundred forty billion, forty-one million, three hundred thirty-one thousand, four hundred fifty-six".