8042120440 has 64 divisors (see below), whose sum is σ = 18984856320. Its totient is φ = 3062016000.

The previous prime is 8042120399. The next prime is 8042120467. The reversal of 8042120440 is 440212408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22480 + ... + 128800.

It is an arithmetic number, because the mean of its divisors is an integer number (296638380).

Almost surely, 2^8042120440 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 8042120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492428160).

8042120440 is an abundant number, since it is smaller than the sum of its proper divisors (10942735880).

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

8042120440 is a wasteful number, since it uses less digits than its factorization.

8042120440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106424 (or 106420 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 8042120440 is about 89677.8704029037. The cubic root of 8042120440 is about 2003.5038944437.

Adding to 8042120440 its reverse (440212408), we get a palindrome (8482332848).

The spelling of 8042120440 in words is "eight billion, forty-two million, one hundred twenty thousand, four hundred forty".