118128637440 has 960 divisors, whose sum is σ = 472084284672. Its totient is φ = 28068249600.

The previous prime is 118128637411. The next prime is 118128637453. The reversal of 118128637440 is 44736821811.

118128637440 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 2 + 8 + 637 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 417415539 + ... + 417415821.

Almost surely, 2^118128637440 is an apocalyptic number.

118128637440 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 118128637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236042142336).

118128637440 is an abundant number, since it is smaller than the sum of its proper divisors (353955647232).

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

118128637440 is an equidigital number, since it uses as much as digits as its factorization.

118128637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 118128637440 in words is "one hundred eighteen billion, one hundred twenty-eight million, six hundred thirty-seven thousand, four hundred forty".