83201441400 has 576 divisors, whose sum is σ = 355504032000. Its totient is φ = 17287200000.

The previous prime is 83201441387. The next prime is 83201441513. The reversal of 83201441400 is 414410238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6785275 + ... + 6797525.

It is an arithmetic number, because the mean of its divisors is an integer number (617194500).

Almost surely, 2^83201441400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83201441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177752016000).

83201441400 is an abundant number, since it is smaller than the sum of its proper divisors (272302590600).

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

83201441400 is a wasteful number, since it uses less digits than its factorization.

83201441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12305 (or 12279 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 83201441400 its reverse (414410238), we get a palindrome (83615851638).

The spelling of 83201441400 in words is "eighty-three billion, two hundred one million, four hundred forty-one thousand, four hundred".