12630435840 has 384 divisors, whose sum is σ = 48990614400. Its totient is φ = 3061186560.

The previous prime is 12630435827. The next prime is 12630435911. The reversal of 12630435840 is 4853403621.

12630435840 is a `hidden beast` number, since 1 + 2 + 6 + 30 + 43 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 12630435795 and 12630435804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039204 + ... + 3043356.

It is an arithmetic number, because the mean of its divisors is an integer number (127579725).

Almost surely, 2^12630435840 is an apocalyptic number.

12630435840 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 12630435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24495307200).

12630435840 is an abundant number, since it is smaller than the sum of its proper divisors (36360178560).

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

12630435840 is a wasteful number, since it uses less digits than its factorization.

12630435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4200 (or 4174 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 12630435840 in words is "twelve billion, six hundred thirty million, four hundred thirty-five thousand, eight hundred forty".