1378944000 has 880 divisors, whose sum is σ = 6182267520. Its totient is φ = 298598400.

The previous prime is 1378943987. The next prime is 1378944043. The reversal of 1378944000 is 4498731.

It is a happy number.

1378944000 is a `hidden beast` number, since 137 + 89 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 72575991 + ... + 72576009.

It is an arithmetic number, because the mean of its divisors is an integer number (7025304).

Almost surely, 2^1378944000 is an apocalyptic number.

1378944000 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 1378944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091133760).

1378944000 is an abundant number, since it is smaller than the sum of its proper divisors (4803323520).

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

1378944000 is an equidigital number, since it uses as much as digits as its factorization.

1378944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1378944000 is about 37134.1352396956. The cubic root of 1378944000 is about 1113.0522276260.

The spelling of 1378944000 in words is "one billion, three hundred seventy-eight million, nine hundred forty-four thousand".