32404412040 has 1024 divisors, whose sum is σ = 140321341440. Its totient is φ = 5766266880.

The previous prime is 32404412039. The next prime is 32404412069. The reversal of 32404412040 is 4021440423.

It is a happy number.

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 32404412040.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102221962 + ... + 102222278.

It is an arithmetic number, because the mean of its divisors is an integer number (137032560).

Almost surely, 2^32404412040 is an apocalyptic number.

32404412040 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 32404412040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70160670720).

32404412040 is an abundant number, since it is smaller than the sum of its proper divisors (107916929400).

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

32404412040 is a wasteful number, since it uses less digits than its factorization.

32404412040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 32404412040 its reverse (4021440423), we get a palindrome (36425852463).

It can be divided in two parts, 32404 and 412040, that added together give a palindrome (444444).

The spelling of 32404412040 in words is "thirty-two billion, four hundred four million, four hundred twelve thousand, forty".