211434050400 has 144 divisors (see below), whose sum is σ = 718140536064. Its totient is φ = 53930990080.

The previous prime is 211434050389. The next prime is 211434050431. The reversal of 211434050400 is 4050434112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1859964 + ... + 1970363.

It is an arithmetic number, because the mean of its divisors is an integer number (4987087056).

Almost surely, 2^211434050400 is an apocalyptic number.

211434050400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211434050400 is an abundant number, since it is smaller than the sum of its proper divisors (506706485664).

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

211434050400 is a wasteful number, since it uses less digits than its factorization.

211434050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830373 (or 3830360 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 211434050400 its reverse (4050434112), we get a palindrome (215484484512).

The spelling of 211434050400 in words is "two hundred eleven billion, four hundred thirty-four million, fifty thousand, four hundred".