1381516576440 has 512 divisors, whose sum is σ = 5857599283200. Its totient is φ = 251039139840.

The previous prime is 1381516576423. The next prime is 1381516576441. The reversal of 1381516576440 is 446756151831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1381516576441) 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 127 ways as a sum of consecutive naturals, for example, 1979619 + ... + 2584941.

It is an arithmetic number, because the mean of its divisors is an integer number (11440623600).

Almost surely, 2^{1381516576440} is an apocalyptic number.

1381516576440 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 1381516576440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928799641600).

1381516576440 is an abundant number, since it is smaller than the sum of its proper divisors (4476082706760).

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

1381516576440 is a wasteful number, since it uses less digits than its factorization.

1381516576440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605387 (or 605383 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 1381516576440 in words is "one trillion, three hundred eighty-one billion, five hundred sixteen million, five hundred seventy-six thousand, four hundred forty".