4241919024 has 480 divisors, whose sum is σ = 15266880000. Its totient is φ = 1120863744.

The previous prime is 4241919023. The next prime is 4241919053. The reversal of 4241919024 is 4209191424.

4241919024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4241919024² = 35987754012346225152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4241919024.

It is not an unprimeable number, because it can be changed into a prime (4241919023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21316077 + ... + 21316275.

It is an arithmetic number, because the mean of its divisors is an integer number (31806000).

Almost surely, 2^4241919024 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 4241919024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633440000).

4241919024 is an abundant number, since it is smaller than the sum of its proper divisors (11024960976).

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

4241919024 is a wasteful number, since it uses less digits than its factorization.

4241919024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4241919024 is about 65130.0163058478. The cubic root of 4241919024 is about 1618.7786129834.

The spelling of 4241919024 in words is "four billion, two hundred forty-one million, nine hundred nineteen thousand, twenty-four".