10400201441 has 8 divisors (see below), whose sum is σ = 12128515200. Its totient is φ = 8914458084.

The previous prime is 10400201419. The next prime is 10400201477. The reversal of 10400201441 is 14410200401.

It is not a de Polignac number, because 10400201441 - 2²² = 10396007137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10400221441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15160301 + ... + 15160986.

It is an arithmetic number, because the mean of its divisors is an integer number (1516064400).

Almost surely, 2^10400201441 is an apocalyptic number.

It is an amenable number.

10400201441 is a deficient number, since it is larger than the sum of its proper divisors (1728313759).

10400201441 is an frugal number, since it uses more digits than its factorization.

10400201441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30321308 (or 30321294 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10400201441 its reverse (14410200401), we get a palindrome (24810401842).

The spelling of 10400201441 in words is "ten billion, four hundred million, two hundred one thousand, four hundred forty-one".