4389125400 has 384 divisors, whose sum is σ = 17364960000. Its totient is φ = 1007769600.

The previous prime is 4389125383. The next prime is 4389125449. The reversal of 4389125400 is 45219834.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1126656 + ... + 1130544.

It is an arithmetic number, because the mean of its divisors is an integer number (45221250).

Almost surely, 2^4389125400 is an apocalyptic number.

4389125400 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 4389125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8682480000).

4389125400 is an abundant number, since it is smaller than the sum of its proper divisors (12975834600).

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

4389125400 is a wasteful number, since it uses less digits than its factorization.

4389125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 4389125400 is about 66250.4747152803. The cubic root of 4389125400 is about 1637.2914591759.

The spelling of 4389125400 in words is "four billion, three hundred eighty-nine million, one hundred twenty-five thousand, four hundred".