16842413810400 has 576 divisors, whose sum is σ = 55634911637760. Its totient is φ = 4425419980800.

The previous prime is 16842413810399. The next prime is 16842413810437. The reversal of 16842413810400 is 401831424861.

16842413810400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 4103951²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38018992579 + ... + 38018993021.

It is an arithmetic number, because the mean of its divisors is an integer number (96588388260).

Almost surely, 2^{16842413810400} is an apocalyptic number.

16842413810400 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 16842413810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27817455818880).

16842413810400 is an abundant number, since it is smaller than the sum of its proper divisors (38792497827360).

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

16842413810400 is a wasteful number, since it uses less digits than its factorization.

16842413810400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 16842413810400 in words is "sixteen trillion, eight hundred forty-two billion, four hundred thirteen million, eight hundred ten thousand, four hundred".