10118180149440 has 224 divisors, whose sum is σ = 35104225651200. Its totient is φ = 2448795648000.

The previous prime is 10118180149393. The next prime is 10118180149477. The reversal of 10118180149440 is 4494108181101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10118180149392 and 10118180149401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5525640 + ... + 7125240.

Almost surely, 2^{10118180149440} is an apocalyptic number.

10118180149440 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 10118180149440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552112825600).

10118180149440 is an abundant number, since it is smaller than the sum of its proper divisors (24986045501760).

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

10118180149440 is a wasteful number, since it uses less digits than its factorization.

10118180149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1600231 (or 1600221 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 10118180149440 in words is "ten trillion, one hundred eighteen billion, one hundred eighty million, one hundred forty-nine thousand, four hundred forty".