1035440332000 has 96 divisors (see below), whose sum is σ = 2546638436160. Its totient is φ = 413759116800.

The previous prime is 1035440331953. The next prime is 1035440332007. The reversal of 1035440332000 is 2330445301.

It is a super-3 number, since 3×1035440332000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035440332007) 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, 3858181 + ... + 4117819.

It is an arithmetic number, because the mean of its divisors is an integer number (26527483710).

Almost surely, 2^{1035440332000} is an apocalyptic number.

1035440332000 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 1035440332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273319218080).

1035440332000 is an abundant number, since it is smaller than the sum of its proper divisors (1511198104160).

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

1035440332000 is an equidigital number, since it uses as much as digits as its factorization.

1035440332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260661 (or 260643 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 1035440332000 its reverse (2330445301), we get a palindrome (1037770777301).

The spelling of 1035440332000 in words is "one trillion, thirty-five billion, four hundred forty million, three hundred thirty-two thousand".