8255005440 has 576 divisors, whose sum is σ = 31152522240. Its totient is φ = 1841889280.

The previous prime is 8255005439. The next prime is 8255005441. The reversal of 8255005440 is 445005528.

It is an interprime number because it is at equal distance from previous prime (8255005439) and next prime (8255005441).

It is a super-2 number, since 2×8255005440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8255005441) 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, 28173934 + ... + 28174226.

It is an arithmetic number, because the mean of its divisors is an integer number (54084240).

Almost surely, 2^8255005440 is an apocalyptic number.

8255005440 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 8255005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576261120).

8255005440 is an abundant number, since it is smaller than the sum of its proper divisors (22897516800).

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

8255005440 is a wasteful number, since it uses less digits than its factorization.

8255005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 8255005440 is about 90857.0604851379. The cubic root of 8255005440 is about 2021.0285778844.

The spelling of 8255005440 in words is "eight billion, two hundred fifty-five million, five thousand, four hundred forty".