32114500040 has 256 divisors, whose sum is σ = 86788800000. Its totient is φ = 10686283776.

The previous prime is 32114500013. The next prime is 32114500073. The reversal of 32114500040 is 4000541123.

It is a super-2 number, since 2×32114500040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 32114499985 and 32114500021.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 78519356 + ... + 78519764.

It is an arithmetic number, because the mean of its divisors is an integer number (339018750).

Almost surely, 2^32114500040 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 32114500040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43394400000).

32114500040 is an abundant number, since it is smaller than the sum of its proper divisors (54674299960).

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

32114500040 is a wasteful number, since it uses less digits than its factorization.

32114500040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The spelling of 32114500040 in words is "thirty-two billion, one hundred fourteen million, five hundred thousand, forty".