1290881280 has 288 divisors, whose sum is σ = 4676999040. Its totient is φ = 300810240.

The previous prime is 1290881257. The next prime is 1290881297. The reversal of 1290881280 is 821880921.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947800 + ... + 949160.

It is an arithmetic number, because the mean of its divisors is an integer number (16239580).

Almost surely, 2^1290881280 is an apocalyptic number.

1290881280 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 1290881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338499520).

1290881280 is an abundant number, since it is smaller than the sum of its proper divisors (3386117760).

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

1290881280 is a wasteful number, since it uses less digits than its factorization.

1290881280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 1290881280 is about 35928.8363296113. The cubic root of 1290881280 is about 1088.8350711211.

The spelling of 1290881280 in words is "one billion, two hundred ninety million, eight hundred eighty-one thousand, two hundred eighty".