8240044032 has 768 divisors, whose sum is σ = 30191616000. Its totient is φ = 2189721600.

The previous prime is 8240044031. The next prime is 8240044061. The reversal of 8240044032 is 2304400428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8240043987 and 8240044005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240044031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265807857 + ... + 265807887.

It is an arithmetic number, because the mean of its divisors is an integer number (39312000).

Almost surely, 2^8240044032 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 8240044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15095808000).

8240044032 is an abundant number, since it is smaller than the sum of its proper divisors (21951571968).

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

8240044032 is a wasteful number, since it uses less digits than its factorization.

8240044032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 8240044032 is about 90774.6882781759. The cubic root of 8240044032 is about 2019.8068658272.

The spelling of 8240044032 in words is "eight billion, two hundred forty million, forty-four thousand, thirty-two".