4145610000 has 400 divisors, whose sum is σ = 16114841600. Its totient is φ = 896832000.

The previous prime is 4145609969. The next prime is 4145610011. The reversal of 4145610000 is 165414.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3989481 + ... + 3990519.

It is an arithmetic number, because the mean of its divisors is an integer number (40287104).

Almost surely, 2^4145610000 is an apocalyptic number.

4145610000 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 4145610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057420800).

4145610000 is an abundant number, since it is smaller than the sum of its proper divisors (11969231600).

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

4145610000 is a wasteful number, since it uses less digits than its factorization.

4145610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4145610000 is about 64386.4116099042. The cubic root of 4145610000 is about 1606.4337301882.

Adding to 4145610000 its reverse (165414), we get a palindrome (4145775414).

The spelling of 4145610000 in words is "four billion, one hundred forty-five million, six hundred ten thousand".