1002133440 has 336 divisors, whose sum is σ = 4298411520. Its totient is φ = 208189440.

The previous prime is 1002133421. The next prime is 1002133441. The reversal of 1002133440 is 443312001.

1002133440 is a `hidden beast` number, since 10 + 0 + 213 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (1002133441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219501 + ... + 224019.

Almost surely, 2^1002133440 is an apocalyptic number.

1002133440 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 1002133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149205760).

1002133440 is an abundant number, since it is smaller than the sum of its proper divisors (3296278080).

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

1002133440 is a wasteful number, since it uses less digits than its factorization.

1002133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 4547 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1002133440 is about 31656.4912774616. The cubic root of 1002133440 is about 1000.7106415356.

Adding to 1002133440 its reverse (443312001), we get a palindrome (1445445441).

The spelling of 1002133440 in words is "one billion, two million, one hundred thirty-three thousand, four hundred forty".