2042143100032 has 128 divisors (see below), whose sum is σ = 4802598420480. Its totient is φ = 846426240000.

The previous prime is 2042143100021. The next prime is 2042143100047. The reversal of 2042143100032 is 2300013412402.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 2042143099976 and 2042143100012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44613157 + ... + 44658907.

It is an arithmetic number, because the mean of its divisors is an integer number (37520300160).

Almost surely, 2^{2042143100032} 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 2042143100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401299210240).

2042143100032 is an abundant number, since it is smaller than the sum of its proper divisors (2760455320448).

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

2042143100032 is a wasteful number, since it uses less digits than its factorization.

2042143100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47410 (or 47398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 2042143100032 its reverse (2300013412402), we get a palindrome (4342156512434).

The spelling of 2042143100032 in words is "two trillion, forty-two billion, one hundred forty-three million, one hundred thousand, thirty-two".