4007438517147 has 32 divisors (see below), whose sum is σ = 5930616975360. Its totient is φ = 2391501801600.

The previous prime is 4007438517133. The next prime is 4007438517151. The reversal of 4007438517147 is 7417158347004.

4007438517147 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4007438517147 - 2⁶ = 4007438517083 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4007438517147.

It is not an unprimeable number, because it can be changed into a prime (4007438517197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9828979 + ... + 10228572.

It is an arithmetic number, because the mean of its divisors is an integer number (185331780480).

Almost surely, 2^{4007438517147} is an apocalyptic number.

4007438517147 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

4007438517147 is a deficient number, since it is larger than the sum of its proper divisors (1923178458213).

4007438517147 is a wasteful number, since it uses less digits than its factorization.

4007438517147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20057723.

The product of its (nonzero) digits is 2634240, while the sum is 51.

The spelling of 4007438517147 in words is "four trillion, seven billion, four hundred thirty-eight million, five hundred seventeen thousand, one hundred forty-seven".