1381277300928 has 672 divisors, whose sum is σ = 4744966440960. Its totient is φ = 351987793920.

The previous prime is 1381277300927. The next prime is 1381277300933. The reversal of 1381277300928 is 8290037721831.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1381277300928² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1381277300927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 205025176 + ... + 205031912.

Almost surely, 2^{1381277300928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381277300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372483220480).

1381277300928 is an abundant number, since it is smaller than the sum of its proper divisors (3363689140032).

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

1381277300928 is a wasteful number, since it uses less digits than its factorization.

1381277300928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 1381277300928 in words is "one trillion, three hundred eighty-one billion, two hundred seventy-seven million, three hundred thousand, nine hundred twenty-eight".