32304402004140 has 288 divisors, whose sum is σ = 119093975844480. Its totient is φ = 6919170121728.

The previous prime is 32304402004129. The next prime is 32304402004219. The reversal of 32304402004140 is 4140020440323.

It is a happy number.

32304402004140 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 4 + 40 + 200 + 414 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1612294 + ... + 8198066.

It is an arithmetic number, because the mean of its divisors is an integer number (413520749460).

Almost surely, 2^{32304402004140} is an apocalyptic number.

32304402004140 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 32304402004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59546987922240).

32304402004140 is an abundant number, since it is smaller than the sum of its proper divisors (86789573840340).

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

32304402004140 is a wasteful number, since it uses less digits than its factorization.

32304402004140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6586041 (or 6586036 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 32304402004140 its reverse (4140020440323), we get a palindrome (36444422444463).

The spelling of 32304402004140 in words is "thirty-two trillion, three hundred four billion, four hundred two million, four thousand, one hundred forty".