4107677411040 has 96 divisors (see below), whose sum is σ = 14787638691840. Its totient is φ = 938897693184.

The previous prime is 4107677411023. The next prime is 4107677411063. The reversal of 4107677411040 is 401147767014.

4107677411040 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 (96).

It is a super-2 number, since 2×4107677411040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4107677410983 and 4107677411001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 611258160 + ... + 611264879.

It is an arithmetic number, because the mean of its divisors is an integer number (154037903040).

Almost surely, 2^{4107677411040} is an apocalyptic number.

4107677411040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4107677411040 is an abundant number, since it is smaller than the sum of its proper divisors (10679961280800).

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

4107677411040 is a wasteful number, since it uses less digits than its factorization.

4107677411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222523064 (or 1222523056 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 4107677411040 in words is "four trillion, one hundred seven billion, six hundred seventy-seven million, four hundred eleven thousand, forty".