1438375680 has 216 divisors, whose sum is σ = 5687896032. Its totient is φ = 328753152.

The previous prime is 1438375651. The next prime is 1438375747. The reversal of 1438375680 is 865738341.

1438375680 is a `hidden beast` number, since 1 + 4 + 3 + 83 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71722 + ... + 89558.

It is an arithmetic number, because the mean of its divisors is an integer number (26332852).

Almost surely, 2^1438375680 is an apocalyptic number.

1438375680 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 1438375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2843948016).

1438375680 is an abundant number, since it is smaller than the sum of its proper divisors (4249520352).

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

1438375680 is a wasteful number, since it uses less digits than its factorization.

1438375680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17871 (or 17854 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1438375680 is about 37925.9235879629. The cubic root of 1438375680 is about 1128.8184794530.

The spelling of 1438375680 in words is "one billion, four hundred thirty-eight million, three hundred seventy-five thousand, six hundred eighty".