84172440000 has 1120 divisors, whose sum is σ = 334563305472. Its totient is φ = 18585600000.

The previous prime is 84172439971. The next prime is 84172440043. The reversal of 84172440000 is 4427148.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 84172440000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2715239985 + ... + 2715240015.

Almost surely, 2^84172440000 is an apocalyptic number.

84172440000 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 84172440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167281652736).

84172440000 is an abundant number, since it is smaller than the sum of its proper divisors (250390865472).

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

84172440000 is a wasteful number, since it uses less digits than its factorization.

84172440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

Adding to 84172440000 its reverse (4427148), we get a palindrome (84176867148).

The spelling of 84172440000 in words is "eighty-four billion, one hundred seventy-two million, four hundred forty thousand".