213979715040 has 1152 divisors, whose sum is σ = 878725169280. Its totient is φ = 43610112000.

The previous prime is 213979715021. The next prime is 213979715069. The reversal of 213979715040 is 40517979312.

213979715040 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 (48).

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 191 ways as a sum of consecutive naturals, for example, 2118610990 + ... + 2118611090.

It is an arithmetic number, because the mean of its divisors is an integer number (762782265).

Almost surely, 2^213979715040 is an apocalyptic number.

213979715040 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 213979715040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439362584640).

213979715040 is an abundant number, since it is smaller than the sum of its proper divisors (664745454240).

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

213979715040 is a wasteful number, since it uses less digits than its factorization.

213979715040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The spelling of 213979715040 in words is "two hundred thirteen billion, nine hundred seventy-nine million, seven hundred fifteen thousand, forty".