4385121600 has 168 divisors, whose sum is σ = 14776285408. Its totient is φ = 1137715200.

The previous prime is 4385121599. The next prime is 4385121733. The reversal of 4385121600 is 61215834.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 165255 + ... + 189945.

Almost surely, 2^4385121600 is an apocalyptic number.

4385121600 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 4385121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388142704).

4385121600 is an abundant number, since it is smaller than the sum of its proper divisors (10391163808).

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

4385121600 is a wasteful number, since it uses less digits than its factorization.

4385121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24753 (or 24738 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4385121600 is about 66220.2506790785. The cubic root of 4385121600 is about 1636.7934570113.

The spelling of 4385121600 in words is "four billion, three hundred eighty-five million, one hundred twenty-one thousand, six hundred".