84312253440 has 528 divisors, whose sum is σ = 316644501888. Its totient is φ = 20660355072.

The previous prime is 84312253439. The next prime is 84312253447. The reversal of 84312253440 is 4435221348.

84312253440 is a `hidden beast` number, since 8 + 43 + 122 + 53 + 440 = 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 = 84312253395 and 84312253404.

It is not an unprimeable number, because it can be changed into a prime (84312253447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33683229 + ... + 33685731.

It is an arithmetic number, because the mean of its divisors is an integer number (599705496).

Almost surely, 2^84312253440 is an apocalyptic number.

84312253440 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 84312253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158322250944).

84312253440 is an abundant number, since it is smaller than the sum of its proper divisors (232332248448).

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

84312253440 is a wasteful number, since it uses less digits than its factorization.

84312253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2573 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 84312253440 its reverse (4435221348), we get a palindrome (88747474788).

The spelling of 84312253440 in words is "eighty-four billion, three hundred twelve million, two hundred fifty-three thousand, four hundred forty".