4145340100 has 72 divisors (see below), whose sum is σ = 9848807136. Its totient is φ = 1501920000.

The previous prime is 4145340091. The next prime is 4145340107. The reversal of 4145340100 is 10435414.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4145340107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302395 + ... + 315805.

It is an arithmetic number, because the mean of its divisors is an integer number (136788988).

Almost surely, 2^4145340100 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 4145340100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924403568).

4145340100 is an abundant number, since it is smaller than the sum of its proper divisors (5703467036).

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

4145340100 is a wasteful number, since it uses less digits than its factorization.

4145340100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13717 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4145340100 is about 64384.3156366518. The cubic root of 4145340100 is about 1606.3988671344.

Adding to 4145340100 its reverse (10435414), we get a palindrome (4155775514).

The spelling of 4145340100 in words is "four billion, one hundred forty-five million, three hundred forty thousand, one hundred".