1442334965760 has 816 divisors, whose sum is σ = 5703998109264. Its totient is φ = 334000816128.

The previous prime is 1442334965707. The next prime is 1442334965791. The reversal of 1442334965760 is 675694332441.

1442334965760 is a `hidden beast` number, since 1 + 4 + 4 + 23 + 3 + 49 + 6 + 576 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 76017106944 + 1366317858816 = 275712^2 + 1168896^2 .

It is a tau number, because it is divible by the number of its divisors (816).

It is a junction number, because it is equal to n+sod(n) for n = 1442334965697 and 1442334965706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 651754414 + ... + 651756626.

Almost surely, 2^{1442334965760} is an apocalyptic number.

1442334965760 is a gapful number since it is divisible by the number (10) 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 1442334965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851999054632).

1442334965760 is an abundant number, since it is smaller than the sum of its proper divisors (4261663143504).

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

1442334965760 is a wasteful number, since it uses less digits than its factorization.

1442334965760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 1442334965760 in words is "one trillion, four hundred forty-two billion, three hundred thirty-four million, nine hundred sixty-five thousand, seven hundred sixty".