211110420400 has 60 divisors (see below), whose sum is σ = 553301231544. Its totient is φ = 76767424000.

The previous prime is 211110420397. The next prime is 211110420419. The reversal of 211110420400 is 4024011112.

It is a happy number.

211110420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 23985421 + ... + 23994220.

Almost surely, 2^211110420400 is an apocalyptic number.

211110420400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211110420400 is an abundant number, since it is smaller than the sum of its proper divisors (342190811144).

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

211110420400 is a wasteful number, since it uses less digits than its factorization.

211110420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47979670 (or 47979659 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211110420400 its reverse (4024011112), we get a palindrome (215134431512).

The spelling of 211110420400 in words is "two hundred eleven billion, one hundred ten million, four hundred twenty thousand, four hundred".