4388121600 has 264 divisors, whose sum is σ = 15360655248. Its totient is φ = 1101004800.

The previous prime is 4388121589. The next prime is 4388121601. The reversal of 4388121600 is 61218834.

It is a super-2 number, since 2×4388121600² = 38511222352773120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4388121601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1303920 + ... + 1307280.

Almost surely, 2^4388121600 is an apocalyptic number.

4388121600 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 4388121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680327624).

4388121600 is an abundant number, since it is smaller than the sum of its proper divisors (10972533648).

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

4388121600 is a wasteful number, since it uses less digits than its factorization.

4388121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4388121600 is about 66242.8984873096. The cubic root of 4388121600 is about 1637.1666326009.

The spelling of 4388121600 in words is "four billion, three hundred eighty-eight million, one hundred twenty-one thousand, six hundred".