4071232321704 has 192 divisors, whose sum is σ = 11544536952000. Its totient is φ = 1294825927680.

The previous prime is 4071232321697. The next prime is 4071232321711.

4071232321704 is a `hidden beast` number, since 407 + 1 + 2 + 3 + 232 + 17 + 0 + 4 = 666.

4071232321704 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4071232321697) and next prime (4071232321711).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64253319 + ... + 64316649.

It is an arithmetic number, because the mean of its divisors is an integer number (60127796625).

Almost surely, 2^{4071232321704} 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 4071232321704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772268476000).

4071232321704 is an abundant number, since it is smaller than the sum of its proper divisors (7473304630296).

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

4071232321704 is a wasteful number, since it uses less digits than its factorization.

4071232321704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63848 (or 63841 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 4071232321704 in words is "four trillion, seventy-one billion, two hundred thirty-two million, three hundred twenty-one thousand, seven hundred four".