4006416349 has 8 divisors (see below), whose sum is σ = 4369218560. Its totient is φ = 3651416496.

The previous prime is 4006416343. The next prime is 4006416397. The reversal of 4006416349 is 9436146004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 4006416349 - 2⁷ = 4006416221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006416343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1949517 + ... + 1951570.

It is an arithmetic number, because the mean of its divisors is an integer number (546152320).

Almost surely, 2^4006416349 is an apocalyptic number.

It is an amenable number.

4006416349 is a deficient number, since it is larger than the sum of its proper divisors (362802211).

4006416349 is a wasteful number, since it uses less digits than its factorization.

4006416349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901179.

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 4006416349 is about 63296.2585703136. The cubic root of 4006416349 is about 1588.2493751310.

The spelling of 4006416349 in words is "four billion, six million, four hundred sixteen thousand, three hundred forty-nine".