2005421405200 has 60 divisors (see below), whose sum is σ = 4935537769428. Its totient is φ = 782603468800.

The previous prime is 2005421405189. The next prime is 2005421405237. The reversal of 2005421405200 is 25041245002.

It can be written as a sum of positive squares in 6 ways, for example, as 285168816144 + 1720252589056 = 534012^2 + 1311584^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61124497 + ... + 61157296.

Almost surely, 2^{2005421405200} is an apocalyptic number.

2005421405200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005421405200 is an abundant number, since it is smaller than the sum of its proper divisors (2930116364228).

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

2005421405200 is a wasteful number, since it uses less digits than its factorization.

2005421405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122281852 (or 122281841 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 2005421405200 in words is "two trillion, five billion, four hundred twenty-one million, four hundred five thousand, two hundred".