82493191440 has 240 divisors, whose sum is σ = 302644308096. Its totient is φ = 19970611200.

The previous prime is 82493191409. The next prime is 82493191453. The reversal of 82493191440 is 4419139428.

82493191440 is a `hidden beast` number, since 8 + 2 + 493 + 19 + 144 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6020277 + ... + 6033963.

Almost surely, 2^82493191440 is an apocalyptic number.

82493191440 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 82493191440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151322154048).

82493191440 is an abundant number, since it is smaller than the sum of its proper divisors (220151116656).

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

82493191440 is a wasteful number, since it uses less digits than its factorization.

82493191440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14478 (or 14469 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 82493191440 in words is "eighty-two billion, four hundred ninety-three million, one hundred ninety-one thousand, four hundred forty".