1290828742840 has 512 divisors, whose sum is σ = 4021414387200. Its totient is φ = 361184624640.

The previous prime is 1290828742831. The next prime is 1290828742873. The reversal of 1290828742840 is 482478280921.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66387520 + ... + 66406960.

It is an arithmetic number, because the mean of its divisors is an integer number (7854324975).

Almost surely, 2^{1290828742840} is an apocalyptic number.

1290828742840 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 1290828742840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010707193600).

1290828742840 is an abundant number, since it is smaller than the sum of its proper divisors (2730585644360).

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

1290828742840 is a wasteful number, since it uses less digits than its factorization.

1290828742840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19555 (or 19551 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 1290828742840 in words is "one trillion, two hundred ninety billion, eight hundred twenty-eight million, seven hundred forty-two thousand, eight hundred forty".