1442528044416 has 256 divisors, whose sum is σ = 4592964772800. Its totient is φ = 444018032640.

The previous prime is 1442528044409. The next prime is 1442528044423. The reversal of 1442528044416 is 6144408252441.

1442528044416 is a `hidden beast` number, since 1 + 4 + 42 + 528 + 0 + 44 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1442528044409) and next prime (1442528044423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2882226 + ... + 3345486.

Almost surely, 2^{1442528044416} is an apocalyptic number.

1442528044416 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 1442528044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296482386400).

1442528044416 is an abundant number, since it is smaller than the sum of its proper divisors (3150436728384).

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

1442528044416 is a wasteful number, since it uses less digits than its factorization.

1442528044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463354 (or 463336 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 1442528044416 in words is "one trillion, four hundred forty-two billion, five hundred twenty-eight million, forty-four thousand, four hundred sixteen".