1380377456640 has 2496 divisors, whose sum is σ = 6429787693056. Its totient is φ = 265675603968.

The previous prime is 1380377456573. The next prime is 1380377456651. The reversal of 1380377456640 is 466547730831.

It is a happy number.

1380377456640 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 3 + 7 + 74 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13401722829 + ... + 13401722931.

It is an arithmetic number, because the mean of its divisors is an integer number (2576036736).

Almost surely, 2^{1380377456640} is an apocalyptic number.

1380377456640 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 1380377456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214893846528).

1380377456640 is an abundant number, since it is smaller than the sum of its proper divisors (5049410236416).

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

1380377456640 is a wasteful number, since it uses less digits than its factorization.

1380377456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 1380377456640 in words is "one trillion, three hundred eighty billion, three hundred seventy-seven million, four hundred fifty-six thousand, six hundred forty".