102428440800 has 1152 divisors, whose sum is σ = 425222784000. Its totient is φ = 20877803520.

The previous prime is 102428440733. The next prime is 102428440831. The reversal of 102428440800 is 8044824201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 687439126 + ... + 687439274.

It is an arithmetic number, because the mean of its divisors is an integer number (369117000).

Almost surely, 2^102428440800 is an apocalyptic number.

102428440800 is a gapful number since it is divisible by the number (10) 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 102428440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212611392000).

102428440800 is an abundant number, since it is smaller than the sum of its proper divisors (322794343200).

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

102428440800 is a wasteful number, since it uses less digits than its factorization.

102428440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The spelling of 102428440800 in words is "one hundred two billion, four hundred twenty-eight million, four hundred forty thousand, eight hundred".