8266249440 has 288 divisors, whose sum is σ = 30421591200. Its totient is φ = 2037104640.

The previous prime is 8266249391. The next prime is 8266249441. The reversal of 8266249440 is 449426628.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8266249441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1118076 + ... + 1125444.

It is an arithmetic number, because the mean of its divisors is an integer number (105630525).

Almost surely, 2^8266249440 is an apocalyptic number.

8266249440 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 8266249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15210795600).

8266249440 is an abundant number, since it is smaller than the sum of its proper divisors (22155341760).

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

8266249440 is a wasteful number, since it uses less digits than its factorization.

8266249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7450 (or 7439 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 8266249440 is about 90918.9168435260. The cubic root of 8266249440 is about 2021.9457642618.

The spelling of 8266249440 in words is "eight billion, two hundred sixty-six million, two hundred forty-nine thousand, four hundred forty".