20005204301440 has 64 divisors (see below), whose sum is σ = 48289261512960. Its totient is φ = 7924391580672.

The previous prime is 20005204301429. The next prime is 20005204301461. The reversal of 20005204301440 is 4410340250002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 151672584 + ... + 151804423.

It is an arithmetic number, because the mean of its divisors is an integer number (754519711140).

Almost surely, 2^{20005204301440} is an apocalyptic number.

20005204301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20005204301440 is an abundant number, since it is smaller than the sum of its proper divisors (28284057211520).

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

20005204301440 is a wasteful number, since it uses less digits than its factorization.

20005204301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303477129 (or 303477117 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 20005204301440 its reverse (4410340250002), we get a palindrome (24415544551442).

The spelling of 20005204301440 in words is "twenty trillion, five billion, two hundred four million, three hundred one thousand, four hundred forty".