40422509568 has 528 divisors, whose sum is σ = 144491343360. Its totient is φ = 11036196864.

The previous prime is 40422509563. The next prime is 40422509573. The reversal of 40422509568 is 86590522404.

40422509568 is a `hidden beast` number, since 40 + 42 + 2 + 5 + 0 + 9 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (40422509563) and next prime (40422509573).

It is not an unprimeable number, because it can be changed into a prime (40422509563) 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, 40061448 + ... + 40062456.

Almost surely, 2^40422509568 is an apocalyptic number.

40422509568 is a gapful number since it is divisible by the number (48) 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 40422509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72245671680).

40422509568 is an abundant number, since it is smaller than the sum of its proper divisors (104068833792).

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

40422509568 is a wasteful number, since it uses less digits than its factorization.

40422509568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40422509568 in words is "forty billion, four hundred twenty-two million, five hundred nine thousand, five hundred sixty-eight".