4045133400 has 192 divisors, whose sum is σ = 15634356480. Its totient is φ = 840537600.

The previous prime is 4045133399. The next prime is 4045133461. The reversal of 4045133400 is 43315404.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2422 + ... + 89978.

It is an arithmetic number, because the mean of its divisors is an integer number (81428940).

Almost surely, 2^4045133400 is an apocalyptic number.

4045133400 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 4045133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7817178240).

4045133400 is an abundant number, since it is smaller than the sum of its proper divisors (11589223080).

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

4045133400 is a wasteful number, since it uses less digits than its factorization.

4045133400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87594 (or 87585 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4045133400 is about 63601.3631929379. The cubic root of 4045133400 is about 1593.3491368604.

Adding to 4045133400 its reverse (43315404), we get a palindrome (4088448804).

The spelling of 4045133400 in words is "four billion, forty-five million, one hundred thirty-three thousand, four hundred".