4045692420 has 576 divisors, whose sum is σ = 16731187200. Its totient is φ = 795018240.

The previous prime is 4045692403. The next prime is 4045692449. The reversal of 4045692420 is 242965404.

4045692420 is a `hidden beast` number, since 404 + 5 + 6 + 9 + 242 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7109896 + ... + 7110464.

It is an arithmetic number, because the mean of its divisors is an integer number (29047200).

Almost surely, 2^4045692420 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 4045692420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8365593600).

4045692420 is an abundant number, since it is smaller than the sum of its proper divisors (12685494780).

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

4045692420 is a wasteful number, since it uses less digits than its factorization.

4045692420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4045692420 is about 63605.7577582407. The cubic root of 4045692420 is about 1593.4225314738.

The spelling of 4045692420 in words is "four billion, forty-five million, six hundred ninety-two thousand, four hundred twenty".