1014040080 has 320 divisors, whose sum is σ = 3633696000. Its totient is φ = 259780608.

The previous prime is 1014040073. The next prime is 1014040141. The reversal of 1014040080 is 800404101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9303066 + ... + 9303174.

It is an arithmetic number, because the mean of its divisors is an integer number (11355300).

Almost surely, 2^1014040080 is an apocalyptic number.

1014040080 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 1014040080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816848000).

1014040080 is an abundant number, since it is smaller than the sum of its proper divisors (2619655920).

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

1014040080 is a wasteful number, since it uses less digits than its factorization.

1014040080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1014040080 is about 31843.9959804042. The cubic root of 1014040080 is about 1004.6582932759.

Adding to 1014040080 its reverse (800404101), we get a palindrome (1814444181).

The spelling of 1014040080 in words is "one billion, fourteen million, forty thousand, eighty".