4145442400 has 72 divisors (see below), whose sum is σ = 11040090264. Its totient is φ = 1507430400.

The previous prime is 4145442359. The next prime is 4145442407. The reversal of 4145442400 is 42445414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4145442407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 226737 + ... + 244336.

It is an arithmetic number, because the mean of its divisors is an integer number (153334587).

Almost surely, 2^4145442400 is an apocalyptic number.

4145442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4145442400 is an abundant number, since it is smaller than the sum of its proper divisors (6894647864).

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

4145442400 is a wasteful number, since it uses less digits than its factorization.

4145442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471104 (or 471091 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 4145442400 is about 64385.1100798935. The cubic root of 4145442400 is about 1606.4120814303.

Adding to 4145442400 its reverse (42445414), we get a palindrome (4187887814).

The spelling of 4145442400 in words is "four billion, one hundred forty-five million, four hundred forty-two thousand, four hundred".