60414641406 has 48 divisors (see below), whose sum is σ = 149645609568. Its totient is φ = 17255851200.

The previous prime is 60414641401. The next prime is 60414641477.

60414641406 is a `hidden beast` number, since 6 + 0 + 4 + 1 + 4 + 641 + 4 + 0 + 6 = 666.

60414641406 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60414641401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331416 + ... + 480276.

It is an arithmetic number, because the mean of its divisors is an integer number (3117616866).

Almost surely, 2^60414641406 is an apocalyptic number.

60414641406 is an abundant number, since it is smaller than the sum of its proper divisors (89230968162).

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

60414641406 is a wasteful number, since it uses less digits than its factorization.

60414641406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152097 (or 152094 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 60414641406 in words is "sixty billion, four hundred fourteen million, six hundred forty-one thousand, four hundred six".