84440210400 has 2592 divisors, whose sum is σ = 427526074080. Its totient is φ = 15885434880.

The previous prime is 84440210377. The next prime is 84440210441. The reversal of 84440210400 is 401204448.

It is a happy number.

84440210400 is a `hidden beast` number, since 8 + 4 + 4 + 40 + 210 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 4444221591 + ... + 4444221609.

It is an arithmetic number, because the mean of its divisors is an integer number (164940615).

Almost surely, 2^84440210400 is an apocalyptic number.

84440210400 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 84440210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213763037040).

84440210400 is an abundant number, since it is smaller than the sum of its proper divisors (343085863680).

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

84440210400 is a wasteful number, since it uses less digits than its factorization.

84440210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 84440210400 its reverse (401204448), we get a palindrome (84841414848).

The spelling of 84440210400 in words is "eighty-four billion, four hundred forty million, two hundred ten thousand, four hundred".