84214914400 has 72 divisors (see below), whose sum is σ = 206371885104. Its totient is φ = 33557798400.

The previous prime is 84214914373. The next prime is 84214914401. The reversal of 84214914400 is 441941248.

It is a self number, because there is not a number n which added to its sum of digits gives 84214914400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84214914401) 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 11 ways as a sum of consecutive naturals, for example, 10270 + ... + 410530.

It is an arithmetic number, because the mean of its divisors is an integer number (2866276182).

Almost surely, 2^84214914400 is an apocalyptic number.

84214914400 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 84214914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103185942552).

84214914400 is an abundant number, since it is smaller than the sum of its proper divisors (122156970704).

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

84214914400 is a wasteful number, since it uses less digits than its factorization.

84214914400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400544 (or 400531 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 84214914400 in words is "eighty-four billion, two hundred fourteen million, nine hundred fourteen thousand, four hundred".