4434641071704 has 384 divisors, whose sum is σ = 13036625222400. Its totient is φ = 1356787998720.

The previous prime is 4434641071661. The next prime is 4434641071723. The reversal of 4434641071704 is 4071701464344.

4434641071704 is a `hidden beast` number, since 4 + 4 + 3 + 464 + 10 + 7 + 170 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4434641071704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3927936612 + ... + 3927937740.

It is an arithmetic number, because the mean of its divisors is an integer number (33949544850).

Almost surely, 2^{4434641071704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4434641071704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6518312611200).

4434641071704 is an abundant number, since it is smaller than the sum of its proper divisors (8601984150696).

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

4434641071704 is a wasteful number, since it uses less digits than its factorization.

4434641071704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1663 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 4434641071704 in words is "four trillion, four hundred thirty-four billion, six hundred forty-one million, seventy-one thousand, seven hundred four".