118728127440 has 240 divisors, whose sum is σ = 444207975120. Its totient is φ = 28217548800.

The previous prime is 118728127429. The next prime is 118728127471. The reversal of 118728127440 is 44721827811.

118728127440 is a `hidden beast` number, since 1 + 1 + 87 + 2 + 8 + 127 + 440 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 15933507984 + 102794619456 = 126228^2 + 320616^2 .

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

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 47 ways as a sum of consecutive naturals, for example, 52740 + ... + 490140.

It is an arithmetic number, because the mean of its divisors is an integer number (1850866563).

Almost surely, 2^118728127440 is an apocalyptic number.

118728127440 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 118728127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222103987560).

118728127440 is an abundant number, since it is smaller than the sum of its proper divisors (325479847680).

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

118728127440 is a wasteful number, since it uses less digits than its factorization.

118728127440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437462 (or 437453 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 118728127440 in words is "one hundred eighteen billion, seven hundred twenty-eight million, one hundred twenty-seven thousand, four hundred forty".