213989194440 has 512 divisors, whose sum is σ = 846360576000. Its totient is φ = 47060352000.

The previous prime is 213989194429. The next prime is 213989194457. The reversal of 213989194440 is 44491989312.

213989194440 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 8 + 9 + 194 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41947890 + ... + 41952990.

It is an arithmetic number, because the mean of its divisors is an integer number (1653048000).

Almost surely, 2^213989194440 is an apocalyptic number.

213989194440 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 213989194440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423180288000).

213989194440 is an abundant number, since it is smaller than the sum of its proper divisors (632371381560).

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

213989194440 is a wasteful number, since it uses less digits than its factorization.

213989194440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5328 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 213989194440 in words is "two hundred thirteen billion, nine hundred eighty-nine million, one hundred ninety-four thousand, four hundred forty".