4004036712 has 160 divisors (see below), whose sum is σ = 12373348680. Its totient is φ = 1201858560.

The previous prime is 4004036683. The next prime is 4004036717. The reversal of 4004036712 is 2176304004.

It can be written as a sum of positive squares in 4 ways, for example, as 2768232996 + 1235803716 = 52614^2 + 35154^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4004036717) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339588 + ... + 351180.

Almost surely, 2^4004036712 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 4004036712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186674340).

4004036712 is an abundant number, since it is smaller than the sum of its proper divisors (8369311968).

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

4004036712 is a wasteful number, since it uses less digits than its factorization.

4004036712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11665 (or 11652 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4004036712 is about 63277.4581663960. The cubic root of 4004036712 is about 1587.9348625114.

The spelling of 4004036712 in words is "four billion, four million, thirty-six thousand, seven hundred twelve".