1338014080 has 128 divisors (see below), whose sum is σ = 3493516320. Its totient is φ = 487047168.

The previous prime is 1338014057. The next prime is 1338014107. The reversal of 1338014080 is 804108331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 606259 + ... + 608461.

Almost surely, 2^1338014080 is an apocalyptic number.

1338014080 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 1338014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746758160).

1338014080 is an abundant number, since it is smaller than the sum of its proper divisors (2155502240).

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

1338014080 is a wasteful number, since it uses less digits than its factorization.

1338014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1338014080 is about 36578.8747776637. The cubic root of 1338014080 is about 1101.9288691609.

The spelling of 1338014080 in words is "one billion, three hundred thirty-eight million, fourteen thousand, eighty".