1442656536 has 128 divisors (see below), whose sum is σ = 3792096000. Its totient is φ = 457003008.

The previous prime is 1442656519. The next prime is 1442656541. The reversal of 1442656536 is 6356562441.

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, 10378755 + ... + 10378893.

It is an arithmetic number, because the mean of its divisors is an integer number (29625750).

Almost surely, 2^1442656536 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 1442656536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896048000).

1442656536 is an abundant number, since it is smaller than the sum of its proper divisors (2349439464).

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

1442656536 is a wasteful number, since it uses less digits than its factorization.

1442656536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 1442656536 is about 37982.3187285874. The cubic root of 1442656536 is about 1129.9372236512.

The spelling of 1442656536 in words is "one billion, four hundred forty-two million, six hundred fifty-six thousand, five hundred thirty-six".