4144201400 has 48 divisors (see below), whose sum is σ = 9639662040. Its totient is φ = 1656924800.

The previous prime is 4144201393. The next prime is 4144201409. The reversal of 4144201400 is 41024414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144201409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 689207 + ... + 695193.

Almost surely, 2^4144201400 is an apocalyptic number.

4144201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144201400 is an abundant number, since it is smaller than the sum of its proper divisors (5495460640).

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

4144201400 is a wasteful number, since it uses less digits than its factorization.

4144201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9455 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4144201400 is about 64375.4720371043. The cubic root of 4144201400 is about 1606.2517642943.

Adding to 4144201400 its reverse (41024414), we get a palindrome (4185225814).

The spelling of 4144201400 in words is "four billion, one hundred forty-four million, two hundred one thousand, four hundred".