84440084400 has 360 divisors, whose sum is σ = 335258150240. Its totient is φ = 19279503360.

The previous prime is 84440084381. The next prime is 84440084471. The reversal of 84440084400 is 448004448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45081864 + ... + 45083736.

Almost surely, 2^84440084400 is an apocalyptic number.

84440084400 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 84440084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167629075120).

84440084400 is an abundant number, since it is smaller than the sum of its proper divisors (250818065840).

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

84440084400 is a wasteful number, since it uses less digits than its factorization.

84440084400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3693 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

Adding to 84440084400 its reverse (448004448), we get a palindrome (84888088848).

The spelling of 84440084400 in words is "eighty-four billion, four hundred forty million, eighty-four thousand, four hundred".