4045670200 has 384 divisors, whose sum is σ = 11997357120. Its totient is φ = 1246003200.

The previous prime is 4045670173. The next prime is 4045670263. The reversal of 4045670200 is 20765404.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 25768522 + ... + 25768678.

Almost surely, 2^4045670200 is an apocalyptic number.

4045670200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4045670200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5998678560).

4045670200 is an abundant number, since it is smaller than the sum of its proper divisors (7951686920).

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

4045670200 is a wasteful number, since it uses less digits than its factorization.

4045670200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 4045670200 is about 63605.5830882793. The cubic root of 4045670200 is about 1593.4196143042.

The spelling of 4045670200 in words is "four billion, forty-five million, six hundred seventy thousand, two hundred".