12428787840 has 512 divisors, whose sum is σ = 48806461440. Its totient is φ = 2627665920.

The previous prime is 12428787827. The next prime is 12428787841. The reversal of 12428787840 is 4878782421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12428787841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9582072 + ... + 9583368.

It is an arithmetic number, because the mean of its divisors is an integer number (95325120).

Almost surely, 2^12428787840 is an apocalyptic number.

12428787840 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 12428787840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24403230720).

12428787840 is an abundant number, since it is smaller than the sum of its proper divisors (36377673600).

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

12428787840 is a wasteful number, since it uses less digits than its factorization.

12428787840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 51.

The spelling of 12428787840 in words is "twelve billion, four hundred twenty-eight million, seven hundred eighty-seven thousand, eight hundred forty".