4040431401104 has 180 divisors, whose sum is σ = 9346655622852. Its totient is φ = 1687081697280.

The previous prime is 4040431401101. The next prime is 4040431401107. The reversal of 4040431401104 is 4011041340404.

It is an interprime number because it is at equal distance from previous prime (4040431401101) and next prime (4040431401107).

It can be written as a sum of positive squares in 6 ways, for example, as 535747874704 + 3504683526400 = 731948^2 + 1872080^2 .

It is a super-3 number, since 3×4040431401104³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4040431401101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1255960904 + ... + 1255964120.

Almost surely, 2^{4040431401104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4040431401104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4673327811426).

4040431401104 is an abundant number, since it is smaller than the sum of its proper divisors (5306224221748).

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

4040431401104 is a wasteful number, since it uses less digits than its factorization.

4040431401104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4220 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 4040431401104 its reverse (4011041340404), we get a palindrome (8051472741508).

The spelling of 4040431401104 in words is "four trillion, forty billion, four hundred thirty-one million, four hundred one thousand, one hundred four".