4004006740 has 24 divisors (see below), whose sum is σ = 8495102952. Its totient is φ = 1585090560.

The previous prime is 4004006663. The next prime is 4004006759. The reversal of 4004006740 is 476004004.

It is a happy number.

4004006740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 504811024 + 3499195716 = 22468^2 + 59154^2 .

It is a congruent number.

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, 1030021 + ... + 1033900.

It is an arithmetic number, because the mean of its divisors is an integer number (353962623).

Almost surely, 2^4004006740 is an apocalyptic number.

It is an amenable number.

4004006740 is an abundant number, since it is smaller than the sum of its proper divisors (4491096212).

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

4004006740 is a wasteful number, since it uses less digits than its factorization.

4004006740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064027 (or 2064025 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 4004006740 is about 63277.2213359594. The cubic root of 4004006740 is about 1587.9309003681.

The spelling of 4004006740 in words is "four billion, four million, six thousand, seven hundred forty".