4006104840 has 48 divisors (see below), whose sum is σ = 13019841900. Its totient is φ = 1068294528.

The previous prime is 4006104749. The next prime is 4006104871. The reversal of 4006104840 is 484016004.

4006104840 is a `hidden beast` number, since 4 + 0 + 0 + 610 + 4 + 8 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3840776676 + 165328164 = 61974^2 + 12858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5563675 + ... + 5564394.

Almost surely, 2^4006104840 is an apocalyptic number.

4006104840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006104840 is an abundant number, since it is smaller than the sum of its proper divisors (9013737060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4006104840 is a wasteful number, since it uses less digits than its factorization.

4006104840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11128086 (or 11128079 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4006104840 is about 63293.7978004164. The cubic root of 4006104840 is about 1588.2082105960.

It can be divided in two parts, 400610 and 4840, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 4006104840 in words is "four billion, six million, one hundred four thousand, eight hundred forty".