4000725516272 has 80 divisors (see below), whose sum is σ = 8384668204032. Its totient is φ = 1844277684480.

The previous prime is 4000725516259. The next prime is 4000725516311. The reversal of 4000725516272 is 2726155270004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83897 + ... + 2829927.

Almost surely, 2^{4000725516272} 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 4000725516272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4192334102016).

4000725516272 is an abundant number, since it is smaller than the sum of its proper divisors (4383942687760).

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

4000725516272 is a wasteful number, since it uses less digits than its factorization.

4000725516272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746206 (or 2746200 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 4000725516272 in words is "four trillion, seven hundred twenty-five million, five hundred sixteen thousand, two hundred seventy-two".