4011785406 has 24 divisors (see below), whose sum is σ = 8703929520. Its totient is φ = 1335457536.

The previous prime is 4011785399. The next prime is 4011785413. The reversal of 4011785406 is 6045871104.

It is a happy number.

4011785406 is a `hidden beast` number, since 40 + 1 + 1 + 78 + 540 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4011785399) and next prime (4011785413).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136611 + ... + 163358.

It is an arithmetic number, because the mean of its divisors is an integer number (362663730).

Almost surely, 2^4011785406 is an apocalyptic number.

4011785406 is an abundant number, since it is smaller than the sum of its proper divisors (4692144114).

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

4011785406 is a wasteful number, since it uses less digits than its factorization.

4011785406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300720 (or 300717 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 4011785406 is about 63338.6564903298. The cubic root of 4011785406 is about 1588.9585371588.

The spelling of 4011785406 in words is "four billion, eleven million, seven hundred eighty-five thousand, four hundred six".