8164031040 has 896 divisors, whose sum is σ = 34551152640. Its totient is φ = 1791590400.

The previous prime is 8164031027. The next prime is 8164031101. The reversal of 8164031040 is 401304618.

8164031040 is a `hidden beast` number, since 8 + 1 + 640 + 3 + 10 + 4 + 0 = 666.

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 = 8164030995 and 8164031013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50085999 + ... + 50086161.

Almost surely, 2^8164031040 is an apocalyptic number.

8164031040 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 8164031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17275576320).

8164031040 is an abundant number, since it is smaller than the sum of its proper divisors (26387121600).

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

8164031040 is a wasteful number, since it uses less digits than its factorization.

8164031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8164031040 is about 90355.0277516420. The cubic root of 8164031040 is about 2013.5768789582.

Adding to 8164031040 its reverse (401304618), we get a palindrome (8565335658).

The spelling of 8164031040 in words is "eight billion, one hundred sixty-four million, thirty-one thousand, forty".