211404042400 has 72 divisors (see below), whose sum is σ = 519857469180. Its totient is φ = 83944335360.

The previous prime is 211404042373. The next prime is 211404042427. The reversal of 211404042400 is 4240404112.

It is an interprime number because it is at equal distance from previous prime (211404042373) and next prime (211404042427).

It can be written as a sum of positive squares in 6 ways, for example, as 29064794256 + 182339248144 = 170484^2 + 427012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 854835 + ... + 1074034.

Almost surely, 2^211404042400 is an apocalyptic number.

211404042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211404042400 is an abundant number, since it is smaller than the sum of its proper divisors (308453426780).

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

211404042400 is a wasteful number, since it uses less digits than its factorization.

211404042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929026 (or 1929013 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 211404042400 its reverse (4240404112), we get a palindrome (215644446512).

The spelling of 211404042400 in words is "two hundred eleven billion, four hundred four million, forty-two thousand, four hundred".