4001964111 has 16 divisors (see below), whose sum is σ = 5935631200. Its totient is φ = 2664918144.

The previous prime is 4001964077. The next prime is 4001964139. The reversal of 4001964111 is 1114691004.

4001964111 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 9 + 641 + 11 = 666.

It is not a de Polignac number, because 4001964111 - 2⁷ = 4001963983 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001964181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60826 + ... + 108183.

It is an arithmetic number, because the mean of its divisors is an integer number (370976950).

Almost surely, 2^4001964111 is an apocalyptic number.

4001964111 is a deficient number, since it is larger than the sum of its proper divisors (1933667089).

4001964111 is a wasteful number, since it uses less digits than its factorization.

4001964111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169895 (or 169889 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 4001964111 is about 63261.0789585508. The cubic root of 4001964111 is about 1587.6608287759.

The spelling of 4001964111 in words is "four billion, one million, nine hundred sixty-four thousand, one hundred eleven".