32114123040 has 96 divisors (see below), whose sum is σ = 101362968000. Its totient is φ = 8546540544.

The previous prime is 32114123017. The next prime is 32114123051. The reversal of 32114123040 is 4032141123.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 32114122998 and 32114123016.

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, 172482 + ... + 306558.

It is an arithmetic number, because the mean of its divisors is an integer number (1055864250).

Almost surely, 2^32114123040 is an apocalyptic number.

32114123040 is a gapful number since it is divisible by the number (30) 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 32114123040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50681484000).

32114123040 is an abundant number, since it is smaller than the sum of its proper divisors (69248844960).

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

32114123040 is a wasteful number, since it uses less digits than its factorization.

32114123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134594 (or 134586 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 32114123040 its reverse (4032141123), we get a palindrome (36146264163).

The spelling of 32114123040 in words is "thirty-two billion, one hundred fourteen million, one hundred twenty-three thousand, forty".