4107463925760 has 1344 divisors, whose sum is σ = 15886529568000. Its totient is φ = 975389589504.

The previous prime is 4107463925759. The next prime is 4107463925809. The reversal of 4107463925760 is 675293647014.

4107463925760 is a `hidden beast` number, since 4 + 1 + 0 + 7 + 4 + 63 + 9 + 2 + 576 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4107463925697 and 4107463925706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20640522141 + ... + 20640522339.

It is an arithmetic number, because the mean of its divisors is an integer number (11820334500).

Almost surely, 2^{4107463925760} is an apocalyptic number.

4107463925760 is a gapful number since it is divisible by the number (40) 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 4107463925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943264784000).

4107463925760 is an abundant number, since it is smaller than the sum of its proper divisors (11779065642240).

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

4107463925760 is a wasteful number, since it uses less digits than its factorization.

4107463925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 4107463925760 in words is "four trillion, one hundred seven billion, four hundred sixty-three million, nine hundred twenty-five thousand, seven hundred sixty".