1290448222560 has 576 divisors, whose sum is σ = 5092145630208. Its totient is φ = 291490762752.

The previous prime is 1290448222529. The next prime is 1290448222577. The reversal of 1290448222560 is 652228440921.

1290448222560 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 4 + 4 + 82 + 2 + 2 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 667587354 + ... + 667589286.

It is an arithmetic number, because the mean of its divisors is an integer number (8840530608).

Almost surely, 2^{1290448222560} is an apocalyptic number.

1290448222560 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 1290448222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546072815104).

1290448222560 is an abundant number, since it is smaller than the sum of its proper divisors (3801697407648).

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

1290448222560 is a wasteful number, since it uses less digits than its factorization.

1290448222560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 1290448222560 in words is "one trillion, two hundred ninety billion, four hundred forty-eight million, two hundred twenty-two thousand, five hundred sixty".