10118384640 has 1056 divisors, whose sum is σ = 45779435520. Its totient is φ = 2006581248.

The previous prime is 10118384611. The next prime is 10118384741. The reversal of 10118384640 is 4648381101.

It is a happy number.

10118384640 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 8 + 3 + 8 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10118384595 and 10118384604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79672257 + ... + 79672383.

Almost surely, 2^10118384640 is an apocalyptic number.

10118384640 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 10118384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22889717760).

10118384640 is an abundant number, since it is smaller than the sum of its proper divisors (35661050880).

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

10118384640 is a wasteful number, since it uses less digits than its factorization.

10118384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 10118384640 in words is "ten billion, one hundred eighteen million, three hundred eighty-four thousand, six hundred forty".