1438078080 has 256 divisors, whose sum is σ = 4896000000. Its totient is φ = 357986304.

The previous prime is 1438078073. The next prime is 1438078139. The reversal of 1438078080 is 808708341.

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, 2881671 + ... + 2882169.

It is an arithmetic number, because the mean of its divisors is an integer number (19125000).

Almost surely, 2^1438078080 is an apocalyptic number.

1438078080 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 1438078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2448000000).

1438078080 is an abundant number, since it is smaller than the sum of its proper divisors (3457921920).

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

1438078080 is a wasteful number, since it uses less digits than its factorization.

1438078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 1438078080 is about 37921.9999472602. Note that the first 4 decimals coincide. The cubic root of 1438078080 is about 1128.7406232167.

The spelling of 1438078080 in words is "one billion, four hundred thirty-eight million, seventy-eight thousand, eighty".