4145931785961 has 144 divisors (see below), whose sum is σ = 7220160260352. Its totient is φ = 2244821679360.

The previous prime is 4145931785923. The next prime is 4145931785977. The reversal of 4145931785961 is 1695871395414.

4145931785961 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 9 + 31 + 7 + 8 + 596 + 1 = 666.

It is not a de Polignac number, because 4145931785961 - 2⁹ = 4145931785449 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4145931785921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2076079015 + ... + 2076081011.

It is an arithmetic number, because the mean of its divisors is an integer number (50140001808).

Almost surely, 2^{4145931785961} is an apocalyptic number.

It is an amenable number.

4145931785961 is a deficient number, since it is larger than the sum of its proper divisors (3074228474391).

4145931785961 is a wasteful number, since it uses less digits than its factorization.

4145931785961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2738 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 63.

The spelling of 4145931785961 in words is "four trillion, one hundred forty-five billion, nine hundred thirty-one million, seven hundred eighty-five thousand, nine hundred sixty-one".