4045407600 has 120 divisors (see below), whose sum is σ = 13955672752. Its totient is φ = 995788800.

The previous prime is 4045407599. The next prime is 4045407623. The reversal of 4045407600 is 67045404.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114061 + ... + 145260.

Almost surely, 2^4045407600 is an apocalyptic number.

4045407600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4045407600 is an abundant number, since it is smaller than the sum of its proper divisors (9910265152).

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

4045407600 is a wasteful number, since it uses less digits than its factorization.

4045407600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259355 (or 259344 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4045407600 is about 63603.5187705838. The cubic root of 4045407600 is about 1593.3851378537.

The spelling of 4045407600 in words is "four billion, forty-five million, four hundred seven thousand, six hundred".