32124341040 has 320 divisors, whose sum is σ = 120034317312. Its totient is φ = 7010713600.

The previous prime is 32124341027. The next prime is 32124341069. The reversal of 32124341040 is 4014342123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32124341040.

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, 1016680 + ... + 1047800.

Almost surely, 2^32124341040 is an apocalyptic number.

32124341040 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 32124341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60017158656).

32124341040 is an abundant number, since it is smaller than the sum of its proper divisors (87909976272).

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

32124341040 is a wasteful number, since it uses less digits than its factorization.

32124341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31188 (or 31182 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 32124341040 its reverse (4014342123), we get a palindrome (36138683163).

The spelling of 32124341040 in words is "thirty-two billion, one hundred twenty-four million, three hundred forty-one thousand, forty".