8001949482240 has 576 divisors, whose sum is σ = 31003011325440. Its totient is φ = 1717095628800.

The previous prime is 8001949482211. The next prime is 8001949482251. The reversal of 8001949482240 is 422849491008.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 183219126 + ... + 183262794.

It is an arithmetic number, because the mean of its divisors is an integer number (53824672440).

Almost surely, 2^{8001949482240} is an apocalyptic number.

8001949482240 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 8001949482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501505662720).

8001949482240 is an abundant number, since it is smaller than the sum of its proper divisors (23001061843200).

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

8001949482240 is a wasteful number, since it uses less digits than its factorization.

8001949482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44118 (or 44104 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 8001949482240 in words is "eight trillion, one billion, nine hundred forty-nine million, four hundred eighty-two thousand, two hundred forty".