8002121424 has 80 divisors (see below), whose sum is σ = 23160987840. Its totient is φ = 2359342080.

The previous prime is 8002121423. The next prime is 8002121447. The reversal of 8002121424 is 4241212008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 8002121394 and 8002121403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8002121423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185269 + ... + 224340.

It is an arithmetic number, because the mean of its divisors is an integer number (289512348).

Almost surely, 2^8002121424 is an apocalyptic number.

It is an amenable number.

8002121424 is an abundant number, since it is smaller than the sum of its proper divisors (15158866416).

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

8002121424 is a wasteful number, since it uses less digits than its factorization.

8002121424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409668 (or 409662 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8002121424 is about 89454.5774345841. The cubic root of 8002121424 is about 2000.1767697091.

The spelling of 8002121424 in words is "eight billion, two million, one hundred twenty-one thousand, four hundred twenty-four".