4045407300 has 180 divisors, whose sum is σ = 14306073936. Its totient is φ = 980683200.

The previous prime is 4045407299. The next prime is 4045407323. The reversal of 4045407300 is 37045404.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 66399 + ... + 111801.

Almost surely, 2^4045407300 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 4045407300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7153036968).

4045407300 is an abundant number, since it is smaller than the sum of its proper divisors (10260666636).

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

4045407300 is a wasteful number, since it uses less digits than its factorization.

4045407300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45440 (or 45424 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 4045407300 is about 63603.5164122236. The cubic root of 4045407300 is about 1593.3850984662.

The spelling of 4045407300 in words is "four billion, forty-five million, four hundred seven thousand, three hundred".