1001133440 has 64 divisors (see below), whose sum is σ = 2411806320. Its totient is φ = 397363200.

The previous prime is 1001133359. The next prime is 1001133479. The reversal of 1001133440 is 443311001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 77870 + ... + 89810.

Almost surely, 2^1001133440 is an apocalyptic number.

1001133440 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 1001133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205903160).

1001133440 is an abundant number, since it is smaller than the sum of its proper divisors (1410672880).

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

1001133440 is a wasteful number, since it uses less digits than its factorization.

1001133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12091 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 1001133440 is about 31640.6927863471. The cubic root of 1001133440 is about 1000.3776706802.

Adding to 1001133440 its reverse (443311001), we get a palindrome (1444444441).

The spelling of 1001133440 in words is "one billion, one million, one hundred thirty-three thousand, four hundred forty".