16400414227968 has 480 divisors, whose sum is σ = 52023645273600. Its totient is φ = 5140232110080.

The previous prime is 16400414227829. The next prime is 16400414227969. The reversal of 16400414227968 is 86972241400461.

16400414227968 is a `hidden beast` number, since 1 + 6 + 400 + 4 + 1 + 4 + 227 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16400414227969) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2603650483 + ... + 2603656781.

It is an arithmetic number, because the mean of its divisors is an integer number (108382594320).

Almost surely, 2^{16400414227968} is an apocalyptic number.

16400414227968 is a gapful number since it is divisible by the number (18) 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 16400414227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26011822636800).

16400414227968 is an abundant number, since it is smaller than the sum of its proper divisors (35623231045632).

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

16400414227968 is an equidigital number, since it uses as much as digits as its factorization.

16400414227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7580 (or 7552 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 16400414227968 in words is "sixteen trillion, four hundred billion, four hundred fourteen million, two hundred twenty-seven thousand, nine hundred sixty-eight".