1337700418340 has 96 divisors (see below), whose sum is σ = 3302604264960. Its totient is φ = 448702732800.

The previous prime is 1337700418339. The next prime is 1337700418361. The reversal of 1337700418340 is 438140077331.

It is a super-2 number, since 2×1337700418340² (a number of 25 digits) contains 22 as substring.

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, 3923285 + ... + 4250595.

It is an arithmetic number, because the mean of its divisors is an integer number (34402127760).

Almost surely, 2^{1337700418340} is an apocalyptic number.

1337700418340 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 1337700418340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651302132480).

1337700418340 is an abundant number, since it is smaller than the sum of its proper divisors (1964903846620).

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

1337700418340 is a wasteful number, since it uses less digits than its factorization.

1337700418340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328773 (or 328771 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 1337700418340 in words is "one trillion, three hundred thirty-seven billion, seven hundred million, four hundred eighteen thousand, three hundred forty".