118672675430400 has 3360 divisors, whose sum is σ = 546210666946560. Its totient is φ = 24801344225280.

The previous prime is 118672675430383. The next prime is 118672675430417. The reversal of 118672675430400 is 4034576276811.

118672675430400 is a `hidden beast` number, since 1 + 1 + 86 + 7 + 26 + 75 + 430 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (118672675430383) and next prime (118672675430417).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 191716761291 + ... + 191716761909.

It is an arithmetic number, because the mean of its divisors is an integer number (162562698496).

Almost surely, 2^{118672675430400} is an apocalyptic number.

118672675430400 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 118672675430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273105333473280).

118672675430400 is an abundant number, since it is smaller than the sum of its proper divisors (427537991516160).

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

118672675430400 is a wasteful number, since it uses less digits than its factorization.

118672675430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 118672675430400 in words is "one hundred eighteen trillion, six hundred seventy-two billion, six hundred seventy-five million, four hundred thirty thousand, four hundred".