1442045868480 has 896 divisors, whose sum is σ = 5951646720000. Its totient is φ = 328554455040.

The previous prime is 1442045868451. The next prime is 1442045868539. The reversal of 1442045868480 is 848685402441.

1442045868480 is a `hidden beast` number, since 1 + 4 + 42 + 0 + 45 + 86 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1277276556 + ... + 1277277684.

Almost surely, 2^{1442045868480} is an apocalyptic number.

1442045868480 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 1442045868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975823360000).

1442045868480 is an abundant number, since it is smaller than the sum of its proper divisors (4509600851520).

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

1442045868480 is a wasteful number, since it uses less digits than its factorization.

1442045868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 1442045868480 in words is "one trillion, four hundred forty-two billion, forty-five million, eight hundred sixty-eight thousand, four hundred eighty".