4105222563456 has 128 divisors (see below), whose sum is σ = 13846980950400. Its totient is φ = 1172920725504.

The previous prime is 4105222563419. The next prime is 4105222563457. The reversal of 4105222563456 is 6543652225014.

4105222563456 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 2 + 2 + 2 + 5 + 634 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4105222563457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84822505 + ... + 84870888.

It is an arithmetic number, because the mean of its divisors is an integer number (108179538675).

Almost surely, 2^{4105222563456} is an apocalyptic number.

It is an amenable number.

4105222563456 is an abundant number, since it is smaller than the sum of its proper divisors (9741758386944).

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

4105222563456 is a wasteful number, since it uses less digits than its factorization.

4105222563456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169693423 (or 169693405 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 4105222563456 in words is "four trillion, one hundred five billion, two hundred twenty-two million, five hundred sixty-three thousand, four hundred fifty-six".