1001441400 has 96 divisors (see below), whose sum is σ = 3180265200. Its totient is φ = 260531200.

The previous prime is 1001441393. The next prime is 1001441401. The reversal of 1001441400 is 41441001.

1001441400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1001441400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001441401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4246 + ... + 44954.

Almost surely, 2^1001441400 is an apocalyptic number.

1001441400 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 1001441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590132600).

1001441400 is an abundant number, since it is smaller than the sum of its proper divisors (2178823800).

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

1001441400 is a wasteful number, since it uses less digits than its factorization.

1001441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40769 (or 40760 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1001441400 is about 31645.5589301248. The cubic root of 1001441400 is about 1000.4802360031.

Adding to 1001441400 its reverse (41441001), we get a palindrome (1042882401).

The spelling of 1001441400 in words is "one billion, one million, four hundred forty-one thousand, four hundred".