8042409984 has 468 divisors, whose sum is σ = 27038359944. Its totient is φ = 2118057984.

The previous prime is 8042409983. The next prime is 8042410009. The reversal of 8042409984 is 4899042408.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8042409983) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217362414 + ... + 217362450.

Almost surely, 2^8042409984 is an apocalyptic number.

8042409984 is a gapful number since it is divisible by the number (84) 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 8042409984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13519179972).

8042409984 is an abundant number, since it is smaller than the sum of its proper divisors (18995949960).

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

8042409984 is a wasteful number, since it uses less digits than its factorization.

8042409984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 8042409984 is about 89679.4847442825. The cubic root of 8042409984 is about 2003.5279384991.

The spelling of 8042409984 in words is "eight billion, forty-two million, four hundred nine thousand, nine hundred eighty-four".