3104441411040 has 384 divisors, whose sum is σ = 11207236360320. Its totient is φ = 802010087424.

The previous prime is 3104441411039. The next prime is 3104441411051. The reversal of 3104441411040 is 401141444013.

3104441411040 is a `hidden beast` number, since 3 + 104 + 441 + 4 + 110 + 4 + 0 = 666.

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 = 3104441410995 and 3104441411013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37201042 + ... + 37284398.

It is an arithmetic number, because the mean of its divisors is an integer number (29185511355).

Almost surely, 2^{3104441411040} is an apocalyptic number.

3104441411040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3104441411040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5603618180160).

3104441411040 is an abundant number, since it is smaller than the sum of its proper divisors (8102794949280).

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

3104441411040 is a wasteful number, since it uses less digits than its factorization.

3104441411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83651 (or 83637 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 3104441411040 its reverse (401141444013), we get a palindrome (3505582855053).

It can be divided in two parts, 3104 and 441411040, that added together give a palindrome (441414144).

The spelling of 3104441411040 in words is "three trillion, one hundred four billion, four hundred forty-one million, four hundred eleven thousand, forty".