118673735040 has 1344 divisors, whose sum is σ = 514730862000. Its totient is φ = 26043752448.

The previous prime is 118673735023. The next prime is 118673735077. The reversal of 118673735040 is 40537376811.

118673735040 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 73 + 73 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 167 ways as a sum of consecutive naturals, for example, 662981671 + ... + 662981849.

Almost surely, 2^118673735040 is an apocalyptic number.

118673735040 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 118673735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257365431000).

118673735040 is an abundant number, since it is smaller than the sum of its proper divisors (396057126960).

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

118673735040 is an equidigital number, since it uses as much as digits as its factorization.

118673735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 118673735040 in words is "one hundred eighteen billion, six hundred seventy-three million, seven hundred thirty-five thousand, forty".