1035413440 has 56 divisors (see below), whose sum is σ = 2472720480. Its totient is φ = 412965888.

The previous prime is 1035413437. The next prime is 1035413443. The reversal of 1035413440 is 443145301.

It is an interprime number because it is at equal distance from previous prime (1035413437) and next prime (1035413443).

It is a super-3 number, since 3×1035413440³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035413443) 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 7 ways as a sum of consecutive naturals, for example, 110374 + ... + 119386.

Almost surely, 2^1035413440 is an apocalyptic number.

1035413440 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 1035413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236360240).

1035413440 is an abundant number, since it is smaller than the sum of its proper divisors (1437307040).

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

1035413440 is an equidigital number, since it uses as much as digits as its factorization.

1035413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9389 (or 9379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1035413440 is about 32177.8408225288. The cubic root of 1035413440 is about 1011.6678126705.

Adding to 1035413440 its reverse (443145301), we get a palindrome (1478558741).

The spelling of 1035413440 in words is "one billion, thirty-five million, four hundred thirteen thousand, four hundred forty".