4145200000 has 192 divisors, whose sum is σ = 10605727440. Its totient is φ = 1612800000.

The previous prime is 4145199997. The next prime is 4145200063. The reversal of 4145200000 is 25414.

4145200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 17199880 + ... + 17200120.

Almost surely, 2^4145200000 is an apocalyptic number.

4145200000 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 4145200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5302863720).

4145200000 is an abundant number, since it is smaller than the sum of its proper divisors (6460527440).

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

4145200000 is an frugal number, since it uses more digits than its factorization.

4145200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4145200000 is about 64383.2276295620. The cubic root of 4145200000 is about 1606.3807697840.

Adding to 4145200000 its reverse (25414), we get a palindrome (4145225414).

The spelling of 4145200000 in words is "four billion, one hundred forty-five million, two hundred thousand".