4400134001100 has 108 divisors (see below), whose sum is σ = 14112719316696. Its totient is φ = 1146081404160.

The previous prime is 4400134001099. The next prime is 4400134001113. The reversal of 4400134001100 is 11004310044.

It is a super-2 number, since 2×4400134001100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56810577 + ... + 56887976.

Almost surely, 2^{4400134001100} is an apocalyptic number.

It is an amenable number.

4400134001100 is an abundant number, since it is smaller than the sum of its proper divisors (9712585315596).

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

4400134001100 is a wasteful number, since it uses less digits than its factorization.

4400134001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113698616 (or 113698606 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 4400134001100 its reverse (11004310044), we get a palindrome (4411138311144).

The spelling of 4400134001100 in words is "four trillion, four hundred billion, one hundred thirty-four million, one thousand, one hundred".