32657040042 has 64 divisors (see below), whose sum is σ = 71870768640. Its totient is φ = 9810257600.

The previous prime is 32657040029. The next prime is 32657040047. The reversal of 32657040042 is 24004075623.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 32657039985 and 32657040012.

It is not an unprimeable number, because it can be changed into a prime (32657040047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13996708 + ... + 13999040.

It is an arithmetic number, because the mean of its divisors is an integer number (1122980760).

Almost surely, 2^32657040042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32657040042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35935384320).

32657040042 is an abundant number, since it is smaller than the sum of its proper divisors (39213728598).

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

32657040042 is a wasteful number, since it uses less digits than its factorization.

32657040042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4099.

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 32657040042 in words is "thirty-two billion, six hundred fifty-seven million, forty thousand, forty-two".