8007410280448 has 96 divisors (see below), whose sum is σ = 17156984906880. Its totient is φ = 3722791813120.

The previous prime is 8007410280427. The next prime is 8007410280469. The reversal of 8007410280448 is 8440820147008.

It is an interprime number because it is at equal distance from previous prime (8007410280427) and next prime (8007410280469).

It is a super-2 number, since 2×8007410280448² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8007410280398 and 8007410280407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504233 + ... + 4275223.

It is an arithmetic number, because the mean of its divisors is an integer number (178718592780).

Almost surely, 2^{8007410280448} 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 8007410280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8578492453440).

8007410280448 is an abundant number, since it is smaller than the sum of its proper divisors (9149574626432).

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

8007410280448 is a wasteful number, since it uses less digits than its factorization.

8007410280448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771113 (or 2771093 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 46.

The spelling of 8007410280448 in words is "eight trillion, seven billion, four hundred ten million, two hundred eighty thousand, four hundred forty-eight".