4144261000 has 256 divisors, whose sum is σ = 11321856000. Its totient is φ = 1404000000.

The previous prime is 4144260971. The next prime is 4144261021. The reversal of 4144261000 is 1624414.

It is a super-2 number, since 2×4144261000² = 34349798472242000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16510875 + ... + 16511125.

It is an arithmetic number, because the mean of its divisors is an integer number (44226000).

Almost surely, 2^4144261000 is an apocalyptic number.

4144261000 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 4144261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660928000).

4144261000 is an abundant number, since it is smaller than the sum of its proper divisors (7177595000).

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

4144261000 is a wasteful number, since it uses less digits than its factorization.

4144261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4144261000 is about 64375.9349446670. The cubic root of 4144261000 is about 1606.2594643823.

Adding to 4144261000 its reverse (1624414), we get a palindrome (4145885414).

The spelling of 4144261000 in words is "four billion, one hundred forty-four million, two hundred sixty-one thousand".