4101456541014 has 48 divisors (see below), whose sum is σ = 10156961917440. Its totient is φ = 1171732307760.

The previous prime is 4101456540977. The next prime is 4101456541027.

4101456541014 is a `hidden beast` number, since 4 + 101 + 4 + 5 + 6 + 541 + 0 + 1 + 4 = 666.

4101456541014 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 4101456541014.

It is a congruent number.

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, 238302 + ... + 2873969.

It is an arithmetic number, because the mean of its divisors is an integer number (211603373280).

Almost surely, 2^{4101456541014} is an apocalyptic number.

4101456541014 is an abundant number, since it is smaller than the sum of its proper divisors (6055505376426).

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

4101456541014 is a wasteful number, since it uses less digits than its factorization.

4101456541014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3122745 (or 3122742 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 4101456541014 in words is "four trillion, one hundred one billion, four hundred fifty-six million, five hundred forty-one thousand, fourteen".