32142325105040 has 40 divisors (see below), whose sum is σ = 75416510530680. Its totient is φ = 12738976551936.

The previous prime is 32142325105039. The next prime is 32142325105139. The reversal of 32142325105040 is 4050152324123.

It can be written as a sum of positive squares in 4 ways, for example, as 16288262800384 + 15854062304656 = 4035872^2 + 3981716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 32142325104988 and 32142325105006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1843014509 + ... + 1843031948.

It is an arithmetic number, because the mean of its divisors is an integer number (1885412763267).

Almost surely, 2^{32142325105040} is an apocalyptic number.

It is an amenable number.

32142325105040 is an abundant number, since it is smaller than the sum of its proper divisors (43274185425640).

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

32142325105040 is a wasteful number, since it uses less digits than its factorization.

32142325105040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686046579 (or 3686046573 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 32142325105040 its reverse (4050152324123), we get a palindrome (36192477429163).

The spelling of 32142325105040 in words is "thirty-two trillion, one hundred forty-two billion, three hundred twenty-five million, one hundred five thousand, forty".