4141744320 has 448 divisors, whose sum is σ = 15880421376. Its totient is φ = 894136320.

The previous prime is 4141744303. The next prime is 4141744333. The reversal of 4141744320 is 234471414.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19629015 + ... + 19629225.

Almost surely, 2^4141744320 is an apocalyptic number.

4141744320 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 4141744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7940210688).

4141744320 is an abundant number, since it is smaller than the sum of its proper divisors (11738677056).

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

4141744320 is a wasteful number, since it uses less digits than its factorization.

4141744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4141744320 is about 64356.3852309932. The cubic root of 4141744320 is about 1605.9342548433.

The spelling of 4141744320 in words is "four billion, one hundred forty-one million, seven hundred forty-four thousand, three hundred twenty".