1376868625440 has 768 divisors, whose sum is σ = 5939480494080. Its totient is φ = 259256954880.

The previous prime is 1376868625423. The next prime is 1376868625493. The reversal of 1376868625440 is 445268686731.

It is a happy number.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16108897 + ... + 16194143.

It is an arithmetic number, because the mean of its divisors is an integer number (7733698560).

Almost surely, 2^{1376868625440} is an apocalyptic number.

1376868625440 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 1376868625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969740247040).

1376868625440 is an abundant number, since it is smaller than the sum of its proper divisors (4562611868640).

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

1376868625440 is a wasteful number, since it uses less digits than its factorization.

1376868625440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85325 (or 85317 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 1376868625440 in words is "one trillion, three hundred seventy-six billion, eight hundred sixty-eight million, six hundred twenty-five thousand, four hundred forty".