4045014400 has 192 divisors, whose sum is σ = 11553948000. Its totient is φ = 1370603520.

The previous prime is 4045014373. The next prime is 4045014401. The reversal of 4045014400 is 44105404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045014401) by changing a digit.

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, 1992586 + ... + 1994614.

Almost surely, 2^4045014400 is an apocalyptic number.

4045014400 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 4045014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5776974000).

4045014400 is an abundant number, since it is smaller than the sum of its proper divisors (7508933600).

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

4045014400 is a wasteful number, since it uses less digits than its factorization.

4045014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4045014400 is about 63600.4276715181. The cubic root of 4045014400 is about 1593.3335122907. Note that the first 3 decimals are identical.

Adding to 4045014400 its reverse (44105404), we get a palindrome (4089119804).

The spelling of 4045014400 in words is "four billion, forty-five million, fourteen thousand, four hundred".