4037009211361 has 27 divisors (see below), whose sum is σ = 4956613308369. Its totient is φ = 3277955896488.

The previous prime is 4037009211293. The next prime is 4037009211371. The reversal of 4037009211361 is 1631129007304.

The square root of 4037009211361 is 2009231.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 4037009211361 - 2⁷ = 4037009211233 is a prime.

It is a super-2 number, since 2×4037009211361² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4037009211361.

It is not an unprimeable number, because it can be changed into a prime (4037009211371) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 267220170 + ... + 267235276.

Almost surely, 2^{4037009211361} is an apocalyptic number.

4037009211361 is the 2009231-st square number.

4037009211361 is the 1004616-th centered octagonal number.

It is an amenable number.

4037009211361 is a deficient number, since it is larger than the sum of its proper divisors (919604097008).

4037009211361 is an frugal number, since it uses more digits than its factorization.

4037009211361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30266 (or 15133 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 4037009211361 in words is "four trillion, thirty-seven billion, nine million, two hundred eleven thousand, three hundred sixty-one".