18630411060240 has 480 divisors, whose sum is σ = 72711986420736. Its totient is φ = 4186761384960.

The previous prime is 18630411060181. The next prime is 18630411060253. The reversal of 18630411060240 is 4206011403681.

18630411060240 is a `hidden beast` number, since 1 + 8 + 6 + 3 + 0 + 4 + 1 + 1 + 0 + 602 + 40 = 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 = 18630411060195 and 18630411060204.

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, 176553895 + ... + 176659385.

Almost surely, 2^{18630411060240} is an apocalyptic number.

18630411060240 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 18630411060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36355993210368).

18630411060240 is an abundant number, since it is smaller than the sum of its proper divisors (54081575360496).

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

18630411060240 is a wasteful number, since it uses less digits than its factorization.

18630411060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106107 (or 106098 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 18630411060240 in words is "eighteen trillion, six hundred thirty billion, four hundred eleven million, sixty thousand, two hundred forty".