82443018240 has 784 divisors, whose sum is σ = 324897695136. Its totient is φ = 19906560000.

The previous prime is 82443018239. The next prime is 82443018257. The reversal of 82443018240 is 4281034428.

82443018240 is a `hidden beast` number, since 8 + 2 + 4 + 430 + 182 + 40 = 666.

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 = 82443018195 and 82443018204.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 328458115 + ... + 328458365.

Almost surely, 2^82443018240 is an apocalyptic number.

82443018240 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 82443018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162448847568).

82443018240 is an abundant number, since it is smaller than the sum of its proper divisors (242454676896).

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

82443018240 is an equidigital number, since it uses as much as digits as its factorization.

82443018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 82443018240 in words is "eighty-two billion, four hundred forty-three million, eighteen thousand, two hundred forty".