82140706404 has 81 divisors (see below), whose sum is σ = 213562259001. Its totient is φ = 26619593760.

The previous prime is 82140706363. The next prime is 82140706409. The reversal of 82140706404 is 40460704128.

The square root of 82140706404 is 286602.

It is a perfect power (a square), and thus also a powerful number.

82140706404 is a `hidden beast` number, since 8 + 2 + 1 + 4 + 0 + 7 + 0 + 640 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 73500632100 + 8640074304 = 271110^2 + 92952^2 .

It is a super-2 number, since 2×82140706404² (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 not an unprimeable number, because it can be changed into a prime (82140706409) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 63624999 + ... + 63626289.

Almost surely, 2^82140706404 is an apocalyptic number.

82140706404 is the 286602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82140706404

82140706404 is an abundant number, since it is smaller than the sum of its proper divisors (131421552597).

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

82140706404 is a wasteful number, since it uses less digits than its factorization.

82140706404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2666 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Multiplying 82140706404 by its sum of digits (36), we get a square (2957065430544 = 1719612²).

82140706404 divided by its sum of digits (36) gives a square (2281686289 = 47767²).

It can be divided in two parts, 82140 and 706404, that added together give a square (788544 = 888²).

The spelling of 82140706404 in words is "eighty-two billion, one hundred forty million, seven hundred six thousand, four hundred four".