8226736140240 has 320 divisors, whose sum is σ = 29318923468800. Its totient is φ = 2117767680000.

The previous prime is 8226736140199. The next prime is 8226736140307. The reversal of 8226736140240 is 420416376228.

It is a happy number.

8226736140240 is a `hidden beast` number, since 8 + 2 + 2 + 6 + 7 + 3 + 614 + 0 + 24 + 0 = 666.

It is a super-2 number, since 2×8226736140240² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 563815345 + ... + 563829935.

It is an arithmetic number, because the mean of its divisors is an integer number (91621635840).

Almost surely, 2^{8226736140240} is an apocalyptic number.

8226736140240 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 8226736140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14659461734400).

8226736140240 is an abundant number, since it is smaller than the sum of its proper divisors (21092187328560).

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

8226736140240 is a wasteful number, since it uses less digits than its factorization.

8226736140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23643 (or 23631 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 8226736140240 in words is "eight trillion, two hundred twenty-six billion, seven hundred thirty-six million, one hundred forty thousand, two hundred forty".