4141150624 has 96 divisors (see below), whose sum is σ = 9540840960. Its totient is φ = 1752192000.

The previous prime is 4141150619. The next prime is 4141150639. The reversal of 4141150624 is 4260511414.

It is a junction number, because it is equal to n+sod(n) for n = 4141150592 and 4141150601.

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 15 ways as a sum of consecutive naturals, for example, 236574 + ... + 253474.

It is an arithmetic number, because the mean of its divisors is an integer number (99383760).

Almost surely, 2^4141150624 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 4141150624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4770420480).

4141150624 is an abundant number, since it is smaller than the sum of its proper divisors (5399690336).

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

4141150624 is a wasteful number, since it uses less digits than its factorization.

4141150624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16974 (or 16966 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 4141150624 is about 64351.7725008410. The cubic root of 4141150624 is about 1605.8575172637.

The spelling of 4141150624 in words is "four billion, one hundred forty-one million, one hundred fifty thousand, six hundred twenty-four".