16405303842000 has 640 divisors, whose sum is σ = 61601172272640. Its totient is φ = 4168765440000.

The previous prime is 16405303841977. The next prime is 16405303842017. The reversal of 16405303842000 is 24830350461.

16405303842000 is a `hidden beast` number, since 1 + 6 + 40 + 5 + 30 + 384 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95115840 + ... + 95288160.

It is an arithmetic number, because the mean of its divisors is an integer number (96251831676).

Almost surely, 2^{16405303842000} is an apocalyptic number.

16405303842000 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 16405303842000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30800586136320).

16405303842000 is an abundant number, since it is smaller than the sum of its proper divisors (45195868430640).

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

16405303842000 is a wasteful number, since it uses less digits than its factorization.

16405303842000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172437 (or 172415 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 16405303842000 in words is "sixteen trillion, four hundred five billion, three hundred three million, eight hundred forty-two thousand".