1288421242920 has 576 divisors, whose sum is σ = 4969542464640. Its totient is φ = 288576691200.

The previous prime is 1288421242919. The next prime is 1288421242937. The reversal of 1288421242920 is 292421248821.

It is a happy number.

1288421242920 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 4 + 212 + 429 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 304517205 + ... + 304521435.

It is an arithmetic number, because the mean of its divisors is an integer number (8627677890).

Almost surely, 2^{1288421242920} is an apocalyptic number.

1288421242920 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 1288421242920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484771232320).

1288421242920 is an abundant number, since it is smaller than the sum of its proper divisors (3681121221720).

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

1288421242920 is a wasteful number, since it uses less digits than its factorization.

1288421242920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 1288421242920 in words is "one trillion, two hundred eighty-eight billion, four hundred twenty-one million, two hundred forty-two thousand, nine hundred twenty".