4107304805040 has 120 divisors (see below), whose sum is σ = 13927618292640. Its totient is φ = 1084647462912.

The previous prime is 4107304805011. The next prime is 4107304805053. The reversal of 4107304805040 is 405084037014.

4107304805040 is a `hidden beast` number, since 4 + 1 + 0 + 73 + 0 + 4 + 80 + 504 + 0 = 666.

4107304805040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4107304804986 and 4107304805004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27618025 + ... + 27766344.

It is an arithmetic number, because the mean of its divisors is an integer number (116063485772).

Almost surely, 2^{4107304805040} is an apocalyptic number.

4107304805040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4107304805040 is an abundant number, since it is smaller than the sum of its proper divisors (9820313487600).

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

4107304805040 is a wasteful number, since it uses less digits than its factorization.

4107304805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55384491 (or 55384482 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 4107304805040 in words is "four trillion, one hundred seven billion, three hundred four million, eight hundred five thousand, forty".