16401360000 has 320 divisors, whose sum is σ = 55941842880. Its totient is φ = 4253184000.

The previous prime is 16401359993. The next prime is 16401360071. The reversal of 16401360000 is 6310461.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8879077 + ... + 8880923.

It is an arithmetic number, because the mean of its divisors is an integer number (174818259).

Almost surely, 2^16401360000 is an apocalyptic number.

16401360000 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 16401360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27970921440).

16401360000 is an abundant number, since it is smaller than the sum of its proper divisors (39540482880).

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

16401360000 is an equidigital number, since it uses as much as digits as its factorization.

16401360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 16401360000 its reverse (6310461), we get a palindrome (16407670461).

The spelling of 16401360000 in words is "sixteen billion, four hundred one million, three hundred sixty thousand".