4145056300 has 144 divisors (see below), whose sum is σ = 11249280000. Its totient is φ = 1287936000.

The previous prime is 4145056291. The next prime is 4145056301. The reversal of 4145056300 is 36505414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4145056301) 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, 3318076 + ... + 3319324.

It is an arithmetic number, because the mean of its divisors is an integer number (78120000).

Almost surely, 2^4145056300 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 4145056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640000).

4145056300 is an abundant number, since it is smaller than the sum of its proper divisors (7104223700).

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

4145056300 is a wasteful number, since it uses less digits than its factorization.

4145056300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1712 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 4145056300 is about 64382.1116460155. Note that the first 3 decimals coincide. The cubic root of 4145056300 is about 1606.3622069817.

The spelling of 4145056300 in words is "four billion, one hundred forty-five million, fifty-six thousand, three hundred".