4661744471000 has 128 divisors (see below), whose sum is σ = 11599738824960. Its totient is φ = 1747475968000.

The previous prime is 4661744470967. The next prime is 4661744471003. The reversal of 4661744471000 is 1744471664.

It is a happy number.

It is a super-3 number, since 3×4661744471000³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661744471003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3372545 + ... + 4549455.

It is an arithmetic number, because the mean of its divisors is an integer number (90622959570).

Almost surely, 2^{4661744471000} is an apocalyptic number.

4661744471000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4661744471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799869412480).

4661744471000 is an abundant number, since it is smaller than the sum of its proper divisors (6937994353960).

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

4661744471000 is a wasteful number, since it uses less digits than its factorization.

4661744471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177182 (or 1177168 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 44.

The spelling of 4661744471000 in words is "four trillion, six hundred sixty-one billion, seven hundred forty-four million, four hundred seventy-one thousand".