8031245040 has 720 divisors, whose sum is σ = 34922988000. Its totient is φ = 1690730496.

The previous prime is 8031245021. The next prime is 8031245069. The reversal of 8031245040 is 405421308.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 8031244995 and 8031245013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17886736 + ... + 17887184.

It is an arithmetic number, because the mean of its divisors is an integer number (48504150).

Almost surely, 2^8031245040 is an apocalyptic number.

8031245040 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 8031245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17461494000).

8031245040 is an abundant number, since it is smaller than the sum of its proper divisors (26891742960).

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

8031245040 is a wasteful number, since it uses less digits than its factorization.

8031245040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8031245040 is about 89617.2139714240. The cubic root of 8031245040 is about 2002.6003709036.

Adding to 8031245040 its reverse (405421308), we get a palindrome (8436666348).

The spelling of 8031245040 in words is "eight billion, thirty-one million, two hundred forty-five thousand, forty".