40243426560 has 288 divisors, whose sum is σ = 143311217280. Its totient is φ = 10693804032.

The previous prime is 40243426547. The next prime is 40243426567. The reversal of 40243426560 is 6562434204.

40243426560 is a `hidden beast` number, since 40 + 2 + 4 + 34 + 26 + 560 = 666.

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

It is a super-2 number, since 2×40243426560² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40243426567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10608024 + ... + 10611816.

Almost surely, 2^40243426560 is an apocalyptic number.

40243426560 is a gapful number since it is divisible by the number (40) 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 40243426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71655608640).

40243426560 is an abundant number, since it is smaller than the sum of its proper divisors (103067790720).

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

40243426560 is a wasteful number, since it uses less digits than its factorization.

40243426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 40243426560 in words is "forty billion, two hundred forty-three million, four hundred twenty-six thousand, five hundred sixty".