1442966829696 has 192 divisors, whose sum is σ = 4749554846400. Its totient is φ = 411921469440.

The previous prime is 1442966829673. The next prime is 1442966829721. The reversal of 1442966829696 is 6969286692441.

1442966829696 is a `hidden beast` number, since 1 + 4 + 429 + 66 + 82 + 9 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9366540 + ... + 9519348.

It is an arithmetic number, because the mean of its divisors is an integer number (24737264825).

Almost surely, 2^{1442966829696} is an apocalyptic number.

1442966829696 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 1442966829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374777423200).

1442966829696 is an abundant number, since it is smaller than the sum of its proper divisors (3306588016704).

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

1442966829696 is a wasteful number, since it uses less digits than its factorization.

1442966829696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154007 (or 153992 counting only the distinct ones).

The product of its digits is 483729408, while the sum is 72.

The spelling of 1442966829696 in words is "one trillion, four hundred forty-two billion, nine hundred sixty-six million, eight hundred twenty-nine thousand, six hundred ninety-six".