4000652795904 has 112 divisors (see below), whose sum is σ = 10842641621760. Its totient is φ = 1311688949760.

The previous prime is 4000652795899. The next prime is 4000652795957. The reversal of 4000652795904 is 4095972560004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164817 + ... + 2833455.

Almost surely, 2^{4000652795904} 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 4000652795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421320810880).

4000652795904 is an abundant number, since it is smaller than the sum of its proper divisors (6841988825856).

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

4000652795904 is an equidigital number, since it uses as much as digits as its factorization.

4000652795904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668729 (or 2668705 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 4000652795904 in words is "four trillion, six hundred fifty-two million, seven hundred ninety-five thousand, nine hundred four".