1142410432032 has 144 divisors (see below), whose sum is σ = 3393358375680. Its totient is φ = 363883677696.

The previous prime is 1142410431961. The next prime is 1142410432043. The reversal of 1142410432032 is 2302340142411.

1142410432032 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 410 + 43 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1142410431987 and 1142410432005.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6598153 + ... + 6769079.

It is an arithmetic number, because the mean of its divisors is an integer number (23564988720).

Almost surely, 2^{1142410432032} is an apocalyptic number.

1142410432032 is a gapful number since it is divisible by the number (12) 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 1142410432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696679187840).

1142410432032 is an abundant number, since it is smaller than the sum of its proper divisors (2250947943648).

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

1142410432032 is a wasteful number, since it uses less digits than its factorization.

1142410432032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171975 (or 171964 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1142410432032 its reverse (2302340142411), we get a palindrome (3444750574443).

The spelling of 1142410432032 in words is "one trillion, one hundred forty-two billion, four hundred ten million, four hundred thirty-two thousand, thirty-two".