8440241940480 has 768 divisors, whose sum is σ = 32341982400000. Its totient is φ = 1876970962944.

The previous prime is 8440241940469. The next prime is 8440241940491. The reversal of 8440241940480 is 840491420448.

It is an interprime number because it is at equal distance from previous prime (8440241940469) and next prime (8440241940491).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 389856696 + ... + 389878344.

It is an arithmetic number, because the mean of its divisors is an integer number (42111956250).

Almost surely, 2^{8440241940480} is an apocalyptic number.

8440241940480 is a gapful number since it is divisible by the number (80) 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 8440241940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170991200000).

8440241940480 is an abundant number, since it is smaller than the sum of its proper divisors (23901740459520).

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

8440241940480 is a wasteful number, since it uses less digits than its factorization.

8440241940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21737 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The spelling of 8440241940480 in words is "eight trillion, four hundred forty billion, two hundred forty-one million, nine hundred forty thousand, four hundred eighty".