1038440080 has 40 divisors (see below), whose sum is σ = 2424436344. Its totient is φ = 413644800.

The previous prime is 1038440063. The next prime is 1038440083. The reversal of 1038440080 is 800448301.

It can be written as a sum of positive squares in 4 ways, for example, as 443860624 + 594579456 = 21068^2 + 24384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (1038440083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7651 + ... + 46210.

Almost surely, 2^1038440080 is an apocalyptic number.

1038440080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1038440080 is an abundant number, since it is smaller than the sum of its proper divisors (1385996264).

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

1038440080 is a wasteful number, since it uses less digits than its factorization.

1038440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54115 (or 54109 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 1038440080 is about 32224.8363843791. The cubic root of 1038440080 is about 1012.6525966216.

Adding to 1038440080 its reverse (800448301), we get a palindrome (1838888381).

The spelling of 1038440080 in words is "one billion, thirty-eight million, four hundred forty thousand, eighty".