4401011344131 has 64 divisors (see below), whose sum is σ = 6992584934400. Its totient is φ = 2725973180928.

The previous prime is 4401011344127. The next prime is 4401011344151. The reversal of 4401011344131 is 1314431101044.

It is not a de Polignac number, because 4401011344131 - 2² = 4401011344127 is a prime.

It is a super-2 number, since 2×4401011344131² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4401011344095 and 4401011344104.

It is not an unprimeable number, because it can be changed into a prime (4401011344111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14839980 + ... + 15133638.

It is an arithmetic number, because the mean of its divisors is an integer number (109259139600).

Almost surely, 2^{4401011344131} is an apocalyptic number.

4401011344131 is a deficient number, since it is larger than the sum of its proper divisors (2591573590269).

4401011344131 is a wasteful number, since it uses less digits than its factorization.

4401011344131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294105 (or 294099 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4401011344131 its reverse (1314431101044), we get a palindrome (5715442445175).

The spelling of 4401011344131 in words is "four trillion, four hundred one billion, eleven million, three hundred forty-four thousand, one hundred thirty-one".