213683581440 has 1280 divisors, whose sum is σ = 912391603200. Its totient is φ = 46374322176.

The previous prime is 213683581421. The next prime is 213683581451. The reversal of 213683581440 is 44185386312.

213683581440 is a `hidden beast` number, since 2 + 1 + 3 + 68 + 3 + 581 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×213683581440² (a number of 23 digits) contains 22 as substring.

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

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, 1361041842 + ... + 1361041998.

It is an arithmetic number, because the mean of its divisors is an integer number (712805940).

Almost surely, 2^213683581440 is an apocalyptic number.

213683581440 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 213683581440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456195801600).

213683581440 is an abundant number, since it is smaller than the sum of its proper divisors (698708021760).

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

213683581440 is a wasteful number, since it uses less digits than its factorization.

213683581440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 213683581440 in words is "two hundred thirteen billion, six hundred eighty-three million, five hundred eighty-one thousand, four hundred forty".