82743134040 has 512 divisors, whose sum is σ = 325273190400. Its totient is φ = 18314035200.

The previous prime is 82743134021. The next prime is 82743134057. The reversal of 82743134040 is 4043134728.

82743134040 is a `hidden beast` number, since 8 + 274 + 3 + 1 + 340 + 40 = 666.

It is a super-2 number, since 2×82743134040² (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 = 82743133986 and 82743134004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71887465 + ... + 71888615.

It is an arithmetic number, because the mean of its divisors is an integer number (635299200).

Almost surely, 2^82743134040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82743134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162636595200).

82743134040 is an abundant number, since it is smaller than the sum of its proper divisors (242530056360).

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

82743134040 is a wasteful number, since it uses less digits than its factorization.

82743134040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 82743134040 its reverse (4043134728), we get a palindrome (86786268768).

The spelling of 82743134040 in words is "eighty-two billion, seven hundred forty-three million, one hundred thirty-four thousand, forty".