1442127763456 has 96 divisors (see below), whose sum is σ = 2895694401600. Its totient is φ = 718034042880.

The previous prime is 1442127763451. The next prime is 1442127763457. The reversal of 1442127763456 is 6543677212441.

It is a happy number.

It is a super-2 number, since 2×1442127763456² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442127763451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 770778201 + ... + 770780071.

It is an arithmetic number, because the mean of its divisors is an integer number (30163483350).

Almost surely, 2^{1442127763456} is an apocalyptic number.

1442127763456 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 1442127763456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447847200800).

1442127763456 is an abundant number, since it is smaller than the sum of its proper divisors (1453566638144).

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

1442127763456 is a wasteful number, since it uses less digits than its factorization.

1442127763456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275 (or 3255 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 52.

The spelling of 1442127763456 in words is "one trillion, four hundred forty-two billion, one hundred twenty-seven million, seven hundred sixty-three thousand, four hundred fifty-six".