4042045476 has 126 divisors (see below), whose sum is σ = 12337467030. Its totient is φ = 1154829312.

The previous prime is 4042045471. The next prime is 4042045481. The reversal of 4042045476 is 6745402404.

4042045476 is a `hidden beast` number, since 404 + 204 + 5 + 47 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (4042045471) and next prime (4042045481).

It can be written as a sum of positive squares in only one way, i.e., 3984891876 + 57153600 = 63126^2 + 7560^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-3 number, since 3×4042045476³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4042045476.

It is not an unprimeable number, because it can be changed into a prime (4042045471) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 128740 + ... + 157028.

It is an arithmetic number, because the mean of its divisors is an integer number (97916405).

Almost surely, 2^4042045476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4042045476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168733515).

4042045476 is an abundant number, since it is smaller than the sum of its proper divisors (8295421554).

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

4042045476 is a wasteful number, since it uses less digits than its factorization.

4042045476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28325 (or 28301 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4042045476 is about 63577.0829466090. The cubic root of 4042045476 is about 1592.9435965857.

The spelling of 4042045476 in words is "four billion, forty-two million, forty-five thousand, four hundred seventy-six".