20405842800 has 120 divisors (see below), whose sum is σ = 74704849536. Its totient is φ = 4664190720.

The previous prime is 20405842799. The next prime is 20405842817. The reversal of 20405842800 is 824850402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1206234 + ... + 1223033.

Almost surely, 2^20405842800 is an apocalyptic number.

20405842800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20405842800 is an abundant number, since it is smaller than the sum of its proper divisors (54299006736).

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

20405842800 is a wasteful number, since it uses less digits than its factorization.

20405842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429295 (or 2429284 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The spelling of 20405842800 in words is "twenty billion, four hundred five million, eight hundred forty-two thousand, eight hundred".