4045074400 has 144 divisors (see below), whose sum is σ = 10367336448. Its totient is φ = 1538240000.

The previous prime is 4045074359. The next prime is 4045074403. The reversal of 4045074400 is 44705404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4045074403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3513825 + ... + 3514975.

It is an arithmetic number, because the mean of its divisors is an integer number (71995392).

Almost surely, 2^4045074400 is an apocalyptic number.

4045074400 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 4045074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183668224).

4045074400 is an abundant number, since it is smaller than the sum of its proper divisors (6322262048).

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

4045074400 is a wasteful number, since it uses less digits than its factorization.

4045074400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 28.

The square root of 4045074400 is about 63600.8993647102. The cubic root of 4045074400 is about 1593.3413902633.

Adding to 4045074400 its reverse (44705404), we get a palindrome (4089779804).

The spelling of 4045074400 in words is "four billion, forty-five million, seventy-four thousand, four hundred".