1442348242560 has 512 divisors, whose sum is σ = 5228928000000. Its totient is φ = 375582707712.

The previous prime is 1442348242523. The next prime is 1442348242571. The reversal of 1442348242560 is 652428432441.

1442348242560 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 3 + 4 + 82 + 4 + 2 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 405266061 + ... + 405269619.

It is an arithmetic number, because the mean of its divisors is an integer number (10212750000).

Almost surely, 2^{1442348242560} is an apocalyptic number.

1442348242560 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 1442348242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614464000000).

1442348242560 is an abundant number, since it is smaller than the sum of its proper divisors (3786579757440).

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

1442348242560 is a wasteful number, since it uses less digits than its factorization.

1442348242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The spelling of 1442348242560 in words is "one trillion, four hundred forty-two billion, three hundred forty-eight million, two hundred forty-two thousand, five hundred sixty".