1010201440 has 96 divisors (see below), whose sum is σ = 2434320000. Its totient is φ = 396085248.

The previous prime is 1010201429. The next prime is 1010201441. The reversal of 1010201440 is 441020101.

1010201440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1010201440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010201441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2894386 + ... + 2894734.

It is an arithmetic number, because the mean of its divisors is an integer number (25357500).

Almost surely, 2^1010201440 is an apocalyptic number.

1010201440 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 1010201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217160000).

1010201440 is an abundant number, since it is smaller than the sum of its proper divisors (1424118560).

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

1010201440 is a wasteful number, since it uses less digits than its factorization.

1010201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1010201440 is about 31783.6662454161. Note that the first 3 decimals coincide. The cubic root of 1010201440 is about 1003.3889818278.

Adding to 1010201440 its reverse (441020101), we get a palindrome (1451221541).

The spelling of 1010201440 in words is "one billion, ten million, two hundred one thousand, four hundred forty".