4007003666744 has 64 divisors (see below), whose sum is σ = 8529890725440. Its totient is φ = 1750741217280.

The previous prime is 4007003666741. The next prime is 4007003666749. The reversal of 4007003666744 is 4476663007004.

It is a happy number.

4007003666744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4007003666744² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007003666741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8402867 + ... + 8866914.

It is an arithmetic number, because the mean of its divisors is an integer number (133279542585).

Almost surely, 2^{4007003666744} is an apocalyptic number.

It is an amenable number.

4007003666744 is an abundant number, since it is smaller than the sum of its proper divisors (4522887058696).

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

4007003666744 is a wasteful number, since it uses less digits than its factorization.

4007003666744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17269920 (or 17269916 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 47.

The spelling of 4007003666744 in words is "four trillion, seven billion, three million, six hundred sixty-six thousand, seven hundred forty-four".