1442564391312 has 240 divisors, whose sum is σ = 4646361096000. Its totient is φ = 413207101440.

The previous prime is 1442564391311. The next prime is 1442564391349. The reversal of 1442564391312 is 2131934652441.

It is a happy number.

1442564391312 is a `hidden beast` number, since 1 + 4 + 4 + 256 + 4 + 391 + 3 + 1 + 2 = 666.

It is a super-2 number, since 2×1442564391312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1442564391311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13459728 + ... + 13566480.

It is an arithmetic number, because the mean of its divisors is an integer number (19359837900).

Almost surely, 2^{1442564391312} is an apocalyptic number.

1442564391312 is a gapful number since it is divisible by the number (12) 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 1442564391312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323180548000).

1442564391312 is an abundant number, since it is smaller than the sum of its proper divisors (3203796704688).

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

1442564391312 is a wasteful number, since it uses less digits than its factorization.

1442564391312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107246 (or 107237 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 1442564391312 in words is "one trillion, four hundred forty-two billion, five hundred sixty-four million, three hundred ninety-one thousand, three hundred twelve".