1010431440 has 60 divisors (see below), whose sum is σ = 3393368004. Its totient is φ = 269448192.

The previous prime is 1010431439. The next prime is 1010431441. The reversal of 1010431440 is 441340101.

It is an interprime number because it is at equal distance from previous prime (1010431439) and next prime (1010431441).

It can be written as a sum of positive squares in 2 ways, for example, as 781090704 + 229340736 = 27948^2 + 15144^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010431441) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 700969 + ... + 702408.

Almost surely, 2^1010431440 is an apocalyptic number.

1010431440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010431440 is an abundant number, since it is smaller than the sum of its proper divisors (2382936564).

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

1010431440 is a wasteful number, since it uses less digits than its factorization.

1010431440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403396 (or 1403387 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1010431440 is about 31787.2842501526. The cubic root of 1010431440 is about 1003.4651257018.

Adding to 1010431440 its reverse (441340101), we get a palindrome (1451771541).

The spelling of 1010431440 in words is "one billion, ten million, four hundred thirty-one thousand, four hundred forty".