118407413377440 has 672 divisors, whose sum is σ = 459232688823552. Its totient is φ = 28598821632000.

The previous prime is 118407413377439. The next prime is 118407413377447. The reversal of 118407413377440 is 44773314704811.

118407413377440 is a `hidden beast` number, since 1 + 18 + 40 + 74 + 13 + 3 + 77 + 440 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (118407413377447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 347533570 + ... + 347874110.

It is an arithmetic number, because the mean of its divisors is an integer number (683381977416).

Almost surely, 2^{118407413377440} is an apocalyptic number.

118407413377440 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 118407413377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229616344411776).

118407413377440 is an abundant number, since it is smaller than the sum of its proper divisors (340825275446112).

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

118407413377440 is a wasteful number, since it uses less digits than its factorization.

118407413377440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340856 (or 340833 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 118407413377440 in words is "one hundred eighteen trillion, four hundred seven billion, four hundred thirteen million, three hundred seventy-seven thousand, four hundred forty".