211011200400 has 960 divisors, whose sum is σ = 917417281536. Its totient is φ = 40034304000.

The previous prime is 211011200371. The next prime is 211011200419. The reversal of 211011200400 is 4002110112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 191 ways as a sum of consecutive naturals, for example, 116515495 + ... + 116517305.

Almost surely, 2^211011200400 is an apocalyptic number.

211011200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211011200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458708640768).

211011200400 is an abundant number, since it is smaller than the sum of its proper divisors (706406081136).

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

211011200400 is a wasteful number, since it uses less digits than its factorization.

211011200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211011200400 its reverse (4002110112), we get a palindrome (215013310512).

The spelling of 211011200400 in words is "two hundred eleven billion, eleven million, two hundred thousand, four hundred".