1012144640 has 160 divisors (see below), whose sum is σ = 2768729040. Its totient is φ = 351535104.

The previous prime is 1012144613. The next prime is 1012144663. The reversal of 1012144640 is 464412101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 661106944 + 351037696 = 25712^2 + 18736^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564866 + ... + 566654.

Almost surely, 2^1012144640 is an apocalyptic number.

1012144640 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 1012144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384364520).

1012144640 is an abundant number, since it is smaller than the sum of its proper divisors (1756584400).

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

1012144640 is a wasteful number, since it uses less digits than its factorization.

1012144640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1012144640 is about 31814.2207196719. The cubic root of 1012144640 is about 1004.0319349852.

Adding to 1012144640 its reverse (464412101), we get a palindrome (1476556741).

The spelling of 1012144640 in words is "one billion, twelve million, one hundred forty-four thousand, six hundred forty".