1001404120 has 64 divisors (see below), whose sum is σ = 2376288000. Its totient is φ = 378753408.

The previous prime is 1001404097. The next prime is 1001404123. The reversal of 1001404120 is 214041001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001404120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001404123) 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, 560749 + ... + 562531.

It is an arithmetic number, because the mean of its divisors is an integer number (37129500).

Almost surely, 2^1001404120 is an apocalyptic number.

1001404120 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 1001404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188144000).

1001404120 is an abundant number, since it is smaller than the sum of its proper divisors (1374883880).

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

1001404120 is a wasteful number, since it uses less digits than its factorization.

1001404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2552 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 1001404120 is about 31644.9699004439. The cubic root of 1001404120 is about 1000.4678211093.

Adding to 1001404120 its reverse (214041001), we get a palindrome (1215445121).

The spelling of 1001404120 in words is "one billion, one million, four hundred four thousand, one hundred twenty".