4013011971 has 32 divisors (see below), whose sum is σ = 6221171520. Its totient is φ = 2553887232.

The previous prime is 4013011957. The next prime is 4013011987. The reversal of 4013011971 is 1791103104.

4013011971 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4013011971 - 2⁵ = 4013011939 is a prime.

It is a super-2 number, since 2×4013011971² = 32208530158778609682, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4013011931) 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, 15051 + ... + 90843.

It is an arithmetic number, because the mean of its divisors is an integer number (194411610).

Almost surely, 2^4013011971 is an apocalyptic number.

4013011971 is a deficient number, since it is larger than the sum of its proper divisors (2208159549).

4013011971 is a wasteful number, since it uses less digits than its factorization.

4013011971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75892 (or 75886 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 4013011971 is about 63348.3383444270. The cubic root of 4013011971 is about 1589.1204569476.

The spelling of 4013011971 in words is "four billion, thirteen million, eleven thousand, nine hundred seventy-one".