82440134400 has 216 divisors, whose sum is σ = 292998937840. Its totient is φ = 20292894720.

The previous prime is 82440134377. The next prime is 82440134431. The reversal of 82440134400 is 443104428.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84456 + ... + 414744.

Almost surely, 2^82440134400 is an apocalyptic number.

82440134400 is a gapful number since it is divisible by the number (80) 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 82440134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146499468920).

82440134400 is an abundant number, since it is smaller than the sum of its proper divisors (210558803440).

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

82440134400 is a wasteful number, since it uses less digits than its factorization.

82440134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330331 (or 330312 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 82440134400 its reverse (443104428), we get a palindrome (82883238828).

The spelling of 82440134400 in words is "eighty-two billion, four hundred forty million, one hundred thirty-four thousand, four hundred".