4381845258240 has 640 divisors, whose sum is σ = 16217767146240. Its totient is φ = 1130692608000.

The previous prime is 4381845258227. The next prime is 4381845258253. The reversal of 4381845258240 is 428525481834.

4381845258240 is a `hidden beast` number, since 4 + 3 + 8 + 1 + 8 + 4 + 52 + 582 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4381845258227) and next prime (4381845258253).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 411396915 + ... + 411407565.

It is an arithmetic number, because the mean of its divisors is an integer number (25340261166).

Almost surely, 2^{4381845258240} is an apocalyptic number.

4381845258240 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 4381845258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108883573120).

4381845258240 is an abundant number, since it is smaller than the sum of its proper divisors (11835921888000).

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

4381845258240 is an equidigital number, since it uses as much as digits as its factorization.

4381845258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10729 (or 10692 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 4381845258240 in words is "four trillion, three hundred eighty-one billion, eight hundred forty-five million, two hundred fifty-eight thousand, two hundred forty".