82460129040 has 60 divisors (see below), whose sum is σ = 276928602444. Its totient is φ = 21989367552.

The previous prime is 82460129039. The next prime is 82460129041. The reversal of 82460129040 is 4092106428.

82460129040 is a `hidden beast` number, since 8 + 2 + 4 + 601 + 2 + 9 + 0 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (82460129039) and next prime (82460129041).

It can be written as a sum of positive squares in 2 ways, for example, as 28693649664 + 53766479376 = 169392^2 + 231876^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 82460128986 and 82460129004.

It is not an unprimeable number, because it can be changed into a prime (82460129041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57263259 + ... + 57264698.

Almost surely, 2^82460129040 is an apocalyptic number.

82460129040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82460129040 is an abundant number, since it is smaller than the sum of its proper divisors (194468473404).

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

82460129040 is a wasteful number, since it uses less digits than its factorization.

82460129040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114527976 (or 114527967 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82460129040 in words is "eighty-two billion, four hundred sixty million, one hundred twenty-nine thousand, forty".