4000701347137 has 12 divisors (see below), whose sum is σ = 4656139538148. Its totient is φ = 3423059974400.

The previous prime is 4000701347119. The next prime is 4000701347147. The reversal of 4000701347137 is 7317431070004.

It can be written as a sum of positive squares in 2 ways, for example, as 2950094797056 + 1050606550081 = 1717584^2 + 1024991^2 .

It is not a de Polignac number, because 4000701347137 - 2³⁵ = 3966341608769 is a prime.

It is a super-2 number, since 2×4000701347137² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4000701347096 and 4000701347105.

It is not an unprimeable number, because it can be changed into a prime (4000701347107) 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, 972458164 + ... + 972462277.

It is an arithmetic number, because the mean of its divisors is an integer number (388011628179).

Almost surely, 2^{4000701347137} is an apocalyptic number.

It is an amenable number.

4000701347137 is a deficient number, since it is larger than the sum of its proper divisors (655438191011).

4000701347137 is a wasteful number, since it uses less digits than its factorization.

4000701347137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1944920480 (or 1944920469 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 37.

The spelling of 4000701347137 in words is "four trillion, seven hundred one million, three hundred forty-seven thousand, one hundred thirty-seven".