4006958949 has 48 divisors (see below), whose sum is σ = 6868592640. Its totient is φ = 2286707760.

The previous prime is 4006958927. The next prime is 4006958983. The reversal of 4006958949 is 9498596004.

It is not a de Polignac number, because 4006958949 - 2¹¹ = 4006956901 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4006958895 and 4006958904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006978949) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2569432 + ... + 2570990.

It is an arithmetic number, because the mean of its divisors is an integer number (143095680).

Almost surely, 2^4006958949 is an apocalyptic number.

It is an amenable number.

4006958949 is a deficient number, since it is larger than the sum of its proper divisors (2861633691).

4006958949 is a wasteful number, since it uses less digits than its factorization.

4006958949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 4006958949 is about 63300.5446185102. The cubic root of 4006958949 is about 1588.3210722234.

The spelling of 4006958949 in words is "four billion, six million, nine hundred fifty-eight thousand, nine hundred forty-nine".