211995413424 has 120 divisors (see below), whose sum is σ = 620309270880. Its totient is φ = 67459408896.

The previous prime is 211995413419. The next prime is 211995413473. The reversal of 211995413424 is 424314599112.

211995413424 is a `hidden beast` number, since 2 + 1 + 199 + 5 + 413 + 42 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 211995413424.

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, 1622932 + ... + 1748684.

It is an arithmetic number, because the mean of its divisors is an integer number (5169243924).

Almost surely, 2^211995413424 is an apocalyptic number.

211995413424 is a gapful number since it is divisible by the number (24) 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 211995413424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310154635440).

211995413424 is an abundant number, since it is smaller than the sum of its proper divisors (408313857456).

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

211995413424 is a wasteful number, since it uses less digits than its factorization.

211995413424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126299 (or 126290 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 211995413424 in words is "two hundred eleven billion, nine hundred ninety-five million, four hundred thirteen thousand, four hundred twenty-four".