118400032800 has 900 divisors, whose sum is σ = 504377487306. Its totient is φ = 27027302400.

The previous prime is 118400032739. The next prime is 118400032801. The reversal of 118400032800 is 8230004811.

It can be written as a sum of positive squares in 3 ways, for example, as 45558341136 + 72841691664 = 213444^2 + 269892^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (118400032801) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 155584420 + ... + 155585180.

Almost surely, 2^118400032800 is an apocalyptic number.

118400032800 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 118400032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252188743653).

118400032800 is an abundant number, since it is smaller than the sum of its proper divisors (385977454506).

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

118400032800 is an frugal number, since it uses more digits than its factorization.

118400032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 118400032800 in words is "one hundred eighteen billion, four hundred million, thirty-two thousand, eight hundred".