4001072071824 has 105 divisors (see below), whose sum is σ = 11623426364329. Its totient is φ = 1333618680960.

The previous prime is 4001072071819. The next prime is 4001072071897. The reversal of 4001072071824 is 4281702701004.

The square root of 4001072071824 is 2000268.

It is a perfect power (a square), and thus also a powerful number.

4001072071824 is a `hidden beast` number, since 400 + 1 + 0 + 72 + 0 + 7 + 182 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3979498337424 + 21573734400 = 1994868^2 + 146880^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 216019684 + ... + 216038204.

Almost surely, 2^{4001072071824} is an apocalyptic number.

4001072071824 is the 2000268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001072071824

4001072071824 is an abundant number, since it is smaller than the sum of its proper divisors (7622354292505).

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

4001072071824 is an frugal number, since it uses more digits than its factorization.

4001072071824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37068 (or 18526 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

Multiplying 4001072071824 by its sum of digits (36), we get a square (144038594585664 = 12001608²).

4001072071824 divided by its sum of digits (36) gives a square (111140890884 = 333378²).

Adding to 4001072071824 its reverse (4281702701004), we get a palindrome (8282774772828).

The spelling of 4001072071824 in words is "four trillion, one billion, seventy-two million, seventy-one thousand, eight hundred twenty-four".