4461742471644 has 24 divisors (see below), whose sum is σ = 11567480482320. Its totient is φ = 1487247490512.

The previous prime is 4461742471631. The next prime is 4461742471649.

4461742471644 is a `hidden beast` number, since 4 + 4 + 61 + 74 + 2 + 471 + 6 + 44 = 666.

4461742471644 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461742471649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20656215039 + ... + 20656215254.

It is an arithmetic number, because the mean of its divisors is an integer number (481978353430).

Almost surely, 2^{4461742471644} is an apocalyptic number.

It is an amenable number.

4461742471644 is an abundant number, since it is smaller than the sum of its proper divisors (7105738010676).

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

4461742471644 is a wasteful number, since it uses less digits than its factorization.

4461742471644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41312430306 (or 41312430298 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 4461742471644 in words is "four trillion, four hundred sixty-one billion, seven hundred forty-two million, four hundred seventy-one thousand, six hundred forty-four".