4007003666742 has 24 divisors (see below), whose sum is σ = 8683574030040. Its totient is φ = 1335401311680.

The previous prime is 4007003666741. The next prime is 4007003666749. The reversal of 4007003666742 is 2476663007004.

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 11 ways as a sum of consecutive naturals, for example, 22122067 + ... + 22302462.

It is an arithmetic number, because the mean of its divisors is an integer number (361815584585).

Almost surely, 2^{4007003666742} is an apocalyptic number.

4007003666742 is an abundant number, since it is smaller than the sum of its proper divisors (4676570363298).

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

4007003666742 is a wasteful number, since it uses less digits than its factorization.

4007003666742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44429548 (or 44429545 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 4007003666742 in words is "four trillion, seven billion, three million, six hundred sixty-six thousand, seven hundred forty-two".