1440945967104 has 1040 divisors, whose sum is σ = 5157709928448. Its totient is φ = 392286633984.

The previous prime is 1440945967079. The next prime is 1440945967117. The reversal of 1440945967104 is 4017695490441.

It is a happy number.

1440945967104 is a `hidden beast` number, since 1 + 4 + 40 + 9 + 4 + 596 + 7 + 1 + 0 + 4 = 666.

It is a super-2 number, since 2×1440945967104² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4693634919 + ... + 4693635225.

Almost surely, 2^{1440945967104} is an apocalyptic number.

1440945967104 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 1440945967104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2578854964224).

1440945967104 is an abundant number, since it is smaller than the sum of its proper divisors (3716763961344).

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

1440945967104 is an equidigital number, since it uses as much as digits as its factorization.

1440945967104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1440945967104 in words is "one trillion, four hundred forty billion, nine hundred forty-five million, nine hundred sixty-seven thousand, one hundred four".