211214480400 has 2160 divisors, whose sum is σ = 1039781396160. Its totient is φ = 39016857600.

The previous prime is 211214480327. The next prime is 211214480429. The reversal of 211214480400 is 4084412112.

211214480400 is a `hidden beast` number, since 2 + 1 + 1 + 214 + 48 + 0 + 400 = 666.

It is a super-2 number, since 2×211214480400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 626749032 + ... + 626749368.

It is an arithmetic number, because the mean of its divisors is an integer number (481380276).

Almost surely, 2^211214480400 is an apocalyptic number.

211214480400 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 211214480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519890698080).

211214480400 is an abundant number, since it is smaller than the sum of its proper divisors (828566915760).

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

211214480400 is a wasteful number, since it uses less digits than its factorization.

211214480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 211214480400 its reverse (4084412112), we get a palindrome (215298892512).

The spelling of 211214480400 in words is "two hundred eleven billion, two hundred fourteen million, four hundred eighty thousand, four hundred".