1442074528440 has 1792 divisors, whose sum is σ = 6229701273600. Its totient is φ = 292253184000.

The previous prime is 1442074528409. The next prime is 1442074528441. The reversal of 1442074528440 is 448254702441.

1442074528440 is a `hidden beast` number, since 14 + 4 + 2 + 0 + 74 + 528 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442074528441) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 9550162365 + ... + 9550162515.

It is an arithmetic number, because the mean of its divisors is an integer number (3476395800).

Almost surely, 2^{1442074528440} is an apocalyptic number.

1442074528440 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 1442074528440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114850636800).

1442074528440 is an abundant number, since it is smaller than the sum of its proper divisors (4787626745160).

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

1442074528440 is a wasteful number, since it uses less digits than its factorization.

1442074528440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 1146880, while the sum is 45.

The spelling of 1442074528440 in words is "one trillion, four hundred forty-two billion, seventy-four million, five hundred twenty-eight thousand, four hundred forty".