1014135640 has 192 divisors, whose sum is σ = 2809036800. Its totient is φ = 322672896.

The previous prime is 1014135623. The next prime is 1014135721. The reversal of 1014135640 is 465314101.

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 47 ways as a sum of consecutive naturals, for example, 7985257 + ... + 7985383.

It is an arithmetic number, because the mean of its divisors is an integer number (14630400).

Almost surely, 2^1014135640 is an apocalyptic number.

1014135640 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 1014135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404518400).

1014135640 is an abundant number, since it is smaller than the sum of its proper divisors (1794901160).

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

1014135640 is a wasteful number, since it uses less digits than its factorization.

1014135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1014135640 is about 31845.4963848893. The cubic root of 1014135640 is about 1004.6898509144.

Adding to 1014135640 its reverse (465314101), we get a palindrome (1479449741).

The spelling of 1014135640 in words is "one billion, fourteen million, one hundred thirty-five thousand, six hundred forty".