4144070400 has 216 divisors, whose sum is σ = 13818167664. Its totient is φ = 1093632000.

The previous prime is 4144070389. The next prime is 4144070443. The reversal of 4144070400 is 40704414.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1938132 + ... + 1940268.

Almost surely, 2^4144070400 is an apocalyptic number.

4144070400 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 4144070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6909083832).

4144070400 is an abundant number, since it is smaller than the sum of its proper divisors (9674097264).

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

4144070400 is a wasteful number, since it uses less digits than its factorization.

4144070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2267 (or 2248 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 4144070400 is about 64374.4545607961. The cubic root of 4144070400 is about 1606.2348393448.

Adding to 4144070400 its reverse (40704414), we get a palindrome (4184774814).

The spelling of 4144070400 in words is "four billion, one hundred forty-four million, seventy thousand, four hundred".