213826314240 has 1792 divisors, whose sum is σ = 990466375680. Its totient is φ = 42998169600.

The previous prime is 213826314239. The next prime is 213826314337. The reversal of 213826314240 is 42413628312.

213826314240 is a `hidden beast` number, since 2 + 1 + 382 + 6 + 31 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×213826314240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213826314195 and 213826314204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6897623025 + ... + 6897623055.

Almost surely, 2^213826314240 is an apocalyptic number.

213826314240 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 213826314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495233187840).

213826314240 is an abundant number, since it is smaller than the sum of its proper divisors (776640061440).

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

213826314240 is an frugal number, since it uses more digits than its factorization.

213826314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 213826314240 in words is "two hundred thirteen billion, eight hundred twenty-six million, three hundred fourteen thousand, two hundred forty".