1337720067840 has 1728 divisors, whose sum is σ = 5235531033600. Its totient is φ = 289471463424.

The previous prime is 1337720067823. The next prime is 1337720067881. The reversal of 1337720067840 is 487600277331.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1337720067840.

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 191 ways as a sum of consecutive naturals, for example, 15030562516 + ... + 15030562604.

It is an arithmetic number, because the mean of its divisors is an integer number (3029821200).

Almost surely, 2^{1337720067840} is an apocalyptic number.

1337720067840 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 1337720067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2617765516800).

1337720067840 is an abundant number, since it is smaller than the sum of its proper divisors (3897810965760).

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

1337720067840 is a wasteful number, since it uses less digits than its factorization.

1337720067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 1337720067840 in words is "one trillion, three hundred thirty-seven billion, seven hundred twenty million, sixty-seven thousand, eight hundred forty".