1376823965440 has 576 divisors, whose sum is σ = 4177108196352. Its totient is φ = 422372966400.

The previous prime is 1376823965411. The next prime is 1376823965449. The reversal of 1376823965440 is 445693286731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376823965449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2015847339 + ... + 2015848021.

It is an arithmetic number, because the mean of its divisors is an integer number (7251923952).

It is a 1-persistent number, because it is pandigital, but 2⋅1376823965440 = 2753647930880 is not.

Almost surely, 2^{1376823965440} is an apocalyptic number.

1376823965440 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 1376823965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088554098176).

1376823965440 is an abundant number, since it is smaller than the sum of its proper divisors (2800284230912).

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

1376823965440 is a wasteful number, since it uses less digits than its factorization.

1376823965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 58.

The spelling of 1376823965440 in words is "one trillion, three hundred seventy-six billion, eight hundred twenty-three million, nine hundred sixty-five thousand, four hundred forty".