16442140726350 has 144 divisors (see below), whose sum is σ = 45954369022320. Its totient is φ = 4322814552000.

The previous prime is 16442140726343. The next prime is 16442140726367. The reversal of 16442140726350 is 5362704124461.

16442140726350 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 2 + 1 + 4 + 0 + 7 + 2 + 635 + 0 = 666.

It is a super-3 number, since 3×16442140726350³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 16442140726296 and 16442140726305.

It is a congruent number.

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, 5597320 + ... + 8013380.

It is an arithmetic number, because the mean of its divisors is an integer number (319127562655).

Almost surely, 2^{16442140726350} is an apocalyptic number.

16442140726350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16442140726350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22977184511160).

16442140726350 is an abundant number, since it is smaller than the sum of its proper divisors (29512228295970).

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

16442140726350 is a wasteful number, since it uses less digits than its factorization.

16442140726350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416224 (or 2416142 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 16442140726350 in words is "sixteen trillion, four hundred forty-two billion, one hundred forty million, seven hundred twenty-six thousand, three hundred fifty".