16405528441050 has 288 divisors, whose sum is σ = 50636118259584. Its totient is φ = 3730281408000.

The previous prime is 16405528441013. The next prime is 16405528441103. The reversal of 16405528441050 is 5014482550461.

16405528441050 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 552 + 8 + 4 + 41 + 0 + 50 = 666.

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 = 16405528440987 and 16405528441005.

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, 490271320 + ... + 490304780.

It is an arithmetic number, because the mean of its divisors is an integer number (175819855068).

Almost surely, 2^{16405528441050} is an apocalyptic number.

16405528441050 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 16405528441050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318059129792).

16405528441050 is an abundant number, since it is smaller than the sum of its proper divisors (34230589818534).

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

16405528441050 is a wasteful number, since it uses less digits than its factorization.

16405528441050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34294 (or 34286 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 16405528441050 in words is "sixteen trillion, four hundred five billion, five hundred twenty-eight million, four hundred forty-one thousand, fifty".