4145104000 has 128 divisors (see below), whose sum is σ = 10482825600. Its totient is φ = 1629568000.

The previous prime is 4145103979. The next prime is 4145104013. The reversal of 4145104000 is 4015414.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 941805 + ... + 946195.

It is an arithmetic number, because the mean of its divisors is an integer number (81897075).

Almost surely, 2^4145104000 is an apocalyptic number.

4145104000 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 4145104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241412800).

4145104000 is an abundant number, since it is smaller than the sum of its proper divisors (6337721600).

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

4145104000 is an equidigital number, since it uses as much as digits as its factorization.

4145104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 4145104000 is about 64382.4820894628. The cubic root of 4145104000 is about 1606.3683687946.

Adding to 4145104000 its reverse (4015414), we get a palindrome (4149119414).

The spelling of 4145104000 in words is "four billion, one hundred forty-five million, one hundred four thousand".