4144200624 has 160 divisors (see below), whose sum is σ = 12336710400. Its totient is φ = 1330997760.

The previous prime is 4144200611. The next prime is 4144200631. The reversal of 4144200624 is 4260024414.

It is a happy number.

4144200624 is a `hidden beast` number, since 4 + 14 + 4 + 20 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1468687 + ... + 1471505.

It is an arithmetic number, because the mean of its divisors is an integer number (77104440).

Almost surely, 2^4144200624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4144200624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168355200).

4144200624 is an abundant number, since it is smaller than the sum of its proper divisors (8192509776).

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

4144200624 is a wasteful number, since it uses less digits than its factorization.

4144200624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4144200624 is about 64375.4660099638. The cubic root of 4144200624 is about 1606.2516640376.

The spelling of 4144200624 in words is "four billion, one hundred forty-four million, two hundred thousand, six hundred twenty-four".