1442258545728 has 1344 divisors, whose sum is σ = 5814179481600. Its totient is φ = 308233175040.

The previous prime is 1442258545699. The next prime is 1442258545799. The reversal of 1442258545728 is 8275458522441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 434544453 + ... + 434547771.

It is an arithmetic number, because the mean of its divisors is an integer number (4326026400).

Almost surely, 2^{1442258545728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442258545728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907089740800).

1442258545728 is an abundant number, since it is smaller than the sum of its proper divisors (4371920935872).

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

1442258545728 is a wasteful number, since it uses less digits than its factorization.

1442258545728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3391 counting only the distinct ones).

The product of its digits is 28672000, while the sum is 57.

The spelling of 1442258545728 in words is "one trillion, four hundred forty-two billion, two hundred fifty-eight million, five hundred forty-five thousand, seven hundred twenty-eight".