1337982881280 has 320 divisors, whose sum is σ = 4426112782080. Its totient is φ = 344574590976.

The previous prime is 1337982881267. The next prime is 1337982881297. The reversal of 1337982881280 is 821882897331.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29368599 + ... + 29414121.

It is an arithmetic number, because the mean of its divisors is an integer number (13831602444).

Almost surely, 2^{1337982881280} is an apocalyptic number.

1337982881280 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 1337982881280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213056391040).

1337982881280 is an abundant number, since it is smaller than the sum of its proper divisors (3088129900800).

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

1337982881280 is an equidigital number, since it uses as much as digits as its factorization.

1337982881280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45681 (or 45665 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 60.

The spelling of 1337982881280 in words is "one trillion, three hundred thirty-seven billion, nine hundred eighty-two million, eight hundred eighty-one thousand, two hundred eighty".