4038374961 has 28 divisors (see below), whose sum is σ = 6263611380. Its totient is φ = 2599400160.

The previous prime is 4038374957. The next prime is 4038374987. The reversal of 4038374961 is 1694738304.

4038374961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1684281600 + 2354093361 = 41040^2 + 48519^2 .

It is not a de Polignac number, because 4038374961 - 2² = 4038374957 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4038374161) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 74370 + ... + 116651.

Almost surely, 2^4038374961 is an apocalyptic number.

It is an amenable number.

4038374961 is a deficient number, since it is larger than the sum of its proper divisors (2225236419).

4038374961 is an equidigital number, since it uses as much as digits as its factorization.

4038374961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191068 (or 191053 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4038374961 is about 63548.2097387487. The cubic root of 4038374961 is about 1592.4612752689.

The spelling of 4038374961 in words is "four billion, thirty-eight million, three hundred seventy-four thousand, nine hundred sixty-one".