213371983440 has 480 divisors, whose sum is σ = 910260239616. Its totient is φ = 43499888640.

The previous prime is 213371983439. The next prime is 213371983469. The reversal of 213371983440 is 44389173312.

213371983440 is a `hidden beast` number, since 2 + 13 + 3 + 7 + 198 + 3 + 440 = 666.

213371983440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2902012 + ... + 2974628.

Almost surely, 2^213371983440 is an apocalyptic number.

213371983440 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 213371983440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455130119808).

213371983440 is an abundant number, since it is smaller than the sum of its proper divisors (696888256176).

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

213371983440 is a wasteful number, since it uses less digits than its factorization.

213371983440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72707 (or 72698 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 213371983440 in words is "two hundred thirteen billion, three hundred seventy-one million, nine hundred eighty-three thousand, four hundred forty".