1338600761760 has 768 divisors, whose sum is σ = 4759359897600. Its totient is φ = 314493763584.

The previous prime is 1338600761759. The next prime is 1338600761761. The reversal of 1338600761760 is 671670068331.

It is an interprime number because it is at equal distance from previous prime (1338600761759) and next prime (1338600761761).

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

It is not an unprimeable number, because it can be changed into a prime (1338600761761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2031260311 + ... + 2031260969.

It is an arithmetic number, because the mean of its divisors is an integer number (6197083200).

Almost surely, 2^{1338600761760} is an apocalyptic number.

1338600761760 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 1338600761760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379679948800).

1338600761760 is an abundant number, since it is smaller than the sum of its proper divisors (3420759135840).

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

1338600761760 is a wasteful number, since it uses less digits than its factorization.

1338600761760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 1338600761760 in words is "one trillion, three hundred thirty-eight billion, six hundred million, seven hundred sixty-one thousand, seven hundred sixty".