4145700000 has 288 divisors, whose sum is σ = 14662311552. Its totient is φ = 1019520000.

The previous prime is 4145699993. The next prime is 4145700007. The reversal of 4145700000 is 75414.

4145700000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4145699993) and next prime (4145700007).

It is a self number, because there is not a number n which added to its sum of digits gives 4145700000.

It is not an unprimeable number, because it can be changed into a prime (4145700007) 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, 3899469 + ... + 3900531.

It is an arithmetic number, because the mean of its divisors is an integer number (50910804).

Almost surely, 2^4145700000 is an apocalyptic number.

4145700000 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 4145700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7331155776).

4145700000 is an abundant number, since it is smaller than the sum of its proper divisors (10516611552).

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

4145700000 is a wasteful number, since it uses less digits than its factorization.

4145700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 4145700000 is about 64387.1105113438. The cubic root of 4145700000 is about 1606.4453551754.

Adding to 4145700000 its reverse (75414), we get a palindrome (4145775414).

The spelling of 4145700000 in words is "four billion, one hundred forty-five million, seven hundred thousand".