4147125400 has 192 divisors, whose sum is σ = 11249280000. Its totient is φ = 1406592000.

The previous prime is 4147125343. The next prime is 4147125403. The reversal of 4147125400 is 45217414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147125403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2073601 + ... + 2075599.

It is an arithmetic number, because the mean of its divisors is an integer number (58590000).

Almost surely, 2^4147125400 is an apocalyptic number.

4147125400 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 4147125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

4147125400 is an abundant number, since it is smaller than the sum of its proper divisors (7102154600).

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

4147125400 is a wasteful number, since it uses less digits than its factorization.

4147125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4147125400 is about 64398.1785456701. The cubic root of 4147125400 is about 1606.6294467100.

The spelling of 4147125400 in words is "four billion, one hundred forty-seven million, one hundred twenty-five thousand, four hundred".