4431010012401 has 16 divisors (see below), whose sum is σ = 6753384159104. Its totient is φ = 2531492383104.

The previous prime is 4431010012397. The next prime is 4431010012409. The reversal of 4431010012401 is 1042100101344.

4431010012401 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4431010012401 - 2² = 4431010012397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4431010012409) 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, 21283036 + ... + 21490221.

It is an arithmetic number, because the mean of its divisors is an integer number (422086509944).

Almost surely, 2^{4431010012401} is an apocalyptic number.

It is an amenable number.

4431010012401 is a deficient number, since it is larger than the sum of its proper divisors (2322374146703).

4431010012401 is a wasteful number, since it uses less digits than its factorization.

4431010012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42778200.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 4431010012401 its reverse (1042100101344), we get a palindrome (5473110113745).

The spelling of 4431010012401 in words is "four trillion, four hundred thirty-one billion, ten million, twelve thousand, four hundred one".