8295013440 has 224 divisors, whose sum is σ = 33443631360. Its totient is φ = 1895989248.

The previous prime is 8295013423. The next prime is 8295013453. The reversal of 8295013440 is 443105928.

8295013440 is a `hidden beast` number, since 82 + 9 + 501 + 34 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8295013395 and 8295013404.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8097 + ... + 129056.

Almost surely, 2^8295013440 is an apocalyptic number.

8295013440 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 8295013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16721815680).

8295013440 is an abundant number, since it is smaller than the sum of its proper divisors (25148617920).

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

8295013440 is a wasteful number, since it uses less digits than its factorization.

8295013440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137186 (or 137170 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8295013440 is about 91076.9643762900. The cubic root of 8295013440 is about 2024.2882985934.

The spelling of 8295013440 in words is "eight billion, two hundred ninety-five million, thirteen thousand, four hundred forty".