1010013440 has 72 divisors (see below), whose sum is σ = 2427989928. Its totient is φ = 402554880.

The previous prime is 1010013413. The next prime is 1010013443. The reversal of 1010013440 is 443100101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 160174336 + 849839104 = 12656^2 + 29152^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010013443) 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, 399380 + ... + 401900.

Almost surely, 2^1010013440 is an apocalyptic number.

1010013440 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 1010013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213994964).

1010013440 is an abundant number, since it is smaller than the sum of its proper divisors (1417976488).

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

1010013440 is an equidigital number, since it uses as much as digits as its factorization.

1010013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010013440 is about 31780.7086138745. The cubic root of 1010013440 is about 1003.3267339024.

Adding to 1010013440 its reverse (443100101), we get a palindrome (1453113541).

The spelling of 1010013440 in words is "one billion, ten million, thirteen thousand, four hundred forty".