16438209405072 has 240 divisors, whose sum is σ = 56327699296512. Its totient is φ = 4080331100160.

The previous prime is 16438209405061. The next prime is 16438209405103. The reversal of 16438209405072 is 27050490283461.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15292504 + ... + 16332087.

It is a 1-persistent number, because it is pandigital, but 2⋅16438209405072 = 32876418810144 is not.

Almost surely, 2^{16438209405072} is an apocalyptic number.

16438209405072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16438209405072 is an abundant number, since it is smaller than the sum of its proper divisors (39889489891440).

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

16438209405072 is a wasteful number, since it uses less digits than its factorization.

16438209405072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31624646 (or 31624633 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 16438209405072 in words is "sixteen trillion, four hundred thirty-eight billion, two hundred nine million, four hundred five thousand, seventy-two".