1032101440 has 56 divisors (see below), whose sum is σ = 2492361792. Its totient is φ = 407016960.

The previous prime is 1032101429. The next prime is 1032101443. The reversal of 1032101440 is 441012301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1032101443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 45433.

Almost surely, 2^1032101440 is an apocalyptic number.

1032101440 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 1032101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246180896).

1032101440 is an abundant number, since it is smaller than the sum of its proper divisors (1460260352).

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

1032101440 is an equidigital number, since it uses as much as digits as its factorization.

1032101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45515 (or 45505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1032101440 is about 32126.3356142589. The cubic root of 1032101440 is about 1010.5879790436.

Adding to 1032101440 its reverse (441012301), we get a palindrome (1473113741).

The spelling of 1032101440 in words is "one billion, thirty-two million, one hundred one thousand, four hundred forty".