84540234240 has 480 divisors, whose sum is σ = 365040314496. Its totient is φ = 17566433280.

The previous prime is 84540234197. The next prime is 84540234241. The reversal of 84540234240 is 4243204548.

84540234240 is a `hidden beast` number, since 8 + 4 + 5 + 402 + 3 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 84540234195 and 84540234204.

It is not an unprimeable number, because it can be changed into a prime (84540234241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1750254 + ... + 1797906.

Almost surely, 2^84540234240 is an apocalyptic number.

84540234240 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 84540234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182520157248).

84540234240 is an abundant number, since it is smaller than the sum of its proper divisors (280500080256).

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

84540234240 is a wasteful number, since it uses less digits than its factorization.

84540234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47700 (or 47681 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 84540234240 its reverse (4243204548), we get a palindrome (88783438788).

The spelling of 84540234240 in words is "eighty-four billion, five hundred forty million, two hundred thirty-four thousand, two hundred forty".