84122317440 has 768 divisors, whose sum is σ = 343347863040. Its totient is φ = 18579456000.

The previous prime is 84122317397. The next prime is 84122317457. The reversal of 84122317440 is 4471322148.

84122317440 is a `hidden beast` number, since 8 + 412 + 231 + 7 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×84122317440² (a number of 23 digits) contains 22 as substring.

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 = 84122317395 and 84122317404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 249620952 + ... + 249621288.

It is an arithmetic number, because the mean of its divisors is an integer number (447067530).

Almost surely, 2^84122317440 is an apocalyptic number.

84122317440 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 84122317440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171673931520).

84122317440 is an abundant number, since it is smaller than the sum of its proper divisors (259225545600).

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

84122317440 is a wasteful number, since it uses less digits than its factorization.

84122317440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 84122317440 its reverse (4471322148), we get a palindrome (88593639588).

The spelling of 84122317440 in words is "eighty-four billion, one hundred twenty-two million, three hundred seventeen thousand, four hundred forty".