1480809312840 has 1024 divisors, whose sum is σ = 5567403663360. Its totient is φ = 310184017920.

The previous prime is 1480809312821. The next prime is 1480809312859. The reversal of 1480809312840 is 482139080841.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1480809312821) and next prime (1480809312859).

It is a self number, because there is not a number n which added to its sum of digits gives 1480809312840.

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 255 ways as a sum of consecutive naturals, for example, 1993013509 + ... + 1993014251.

It is an arithmetic number, because the mean of its divisors is an integer number (5436917640).

Almost surely, 2^{1480809312840} is an apocalyptic number.

1480809312840 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 1480809312840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783701831680).

1480809312840 is an abundant number, since it is smaller than the sum of its proper divisors (4086594350520).

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

1480809312840 is a wasteful number, since it uses less digits than its factorization.

1480809312840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 1480809312840 in words is "one trillion, four hundred eighty billion, eight hundred nine million, three hundred twelve thousand, eight hundred forty".