1376801440 has 192 divisors, whose sum is σ = 3968745984. Its totient is φ = 440598528.

The previous prime is 1376801417. The next prime is 1376801453. The reversal of 1376801440 is 441086731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1376801396 and 1376801405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3179464 + ... + 3179896.

It is an arithmetic number, because the mean of its divisors is an integer number (20670552).

Almost surely, 2^1376801440 is an apocalyptic number.

1376801440 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 1376801440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984372992).

1376801440 is an abundant number, since it is smaller than the sum of its proper divisors (2591944544).

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

1376801440 is a wasteful number, since it uses less digits than its factorization.

1376801440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 1376801440 is about 37105.2750966759. The cubic root of 1376801440 is about 1112.4754535677.

It can be divided in two parts, 1376 and 801440, that added together give a square (802816 = 896²).

The spelling of 1376801440 in words is "one billion, three hundred seventy-six million, eight hundred one thousand, four hundred forty".