8045121040 has 80 divisors (see below), whose sum is σ = 20420585856. Its totient is φ = 2923315200.

The previous prime is 8045120981. The next prime is 8045121047. The reversal of 8045121040 is 401215408.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 8045120996 and 8045121014.

It is not an unprimeable number, because it can be changed into a prime (8045121047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1608784 + ... + 1613776.

Almost surely, 2^8045121040 is an apocalyptic number.

8045121040 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 8045121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10210292928).

8045121040 is an abundant number, since it is smaller than the sum of its proper divisors (12375464816).

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

8045121040 is a wasteful number, since it uses less digits than its factorization.

8045121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6848 (or 6842 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8045121040 is about 89694.5987225541. The cubic root of 8045121040 is about 2003.7530396083.

Adding to 8045121040 its reverse (401215408), we get a palindrome (8446336448).

The spelling of 8045121040 in words is "eight billion, forty-five million, one hundred twenty-one thousand, forty".