162400112400 has 240 divisors, whose sum is σ = 534483290880. Its totient is φ = 42127680000.

The previous prime is 162400112377. The next prime is 162400112401. The reversal of 162400112400 is 4211004261.

It is a happy number.

162400112400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (162400112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12945331 + ... + 12957869.

It is an arithmetic number, because the mean of its divisors is an integer number (2227013712).

Almost surely, 2^162400112400 is an apocalyptic number.

162400112400 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 162400112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267241645440).

162400112400 is an abundant number, since it is smaller than the sum of its proper divisors (372083178480).

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

162400112400 is a wasteful number, since it uses less digits than its factorization.

162400112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854 (or 12843 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 162400112400 its reverse (4211004261), we get a palindrome (166611116661).

The spelling of 162400112400 in words is "one hundred sixty-two billion, four hundred million, one hundred twelve thousand, four hundred".