40422284064 has 288 divisors, whose sum is σ = 121405677120. Its totient is φ = 13228572672.

The previous prime is 40422284051. The next prime is 40422284069. The reversal of 40422284064 is 46048222404.

It is a happy number.

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

It is a super-2 number, since 2×40422284064² (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 not an unprimeable number, because it can be changed into a prime (40422284069) 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, 157285024 + ... + 157285280.

It is an arithmetic number, because the mean of its divisors is an integer number (421547490).

Almost surely, 2^40422284064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40422284064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60702838560).

40422284064 is an abundant number, since it is smaller than the sum of its proper divisors (80983393056).

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

40422284064 is a wasteful number, since it uses less digits than its factorization.

40422284064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 40422284064 in words is "forty billion, four hundred twenty-two million, two hundred eighty-four thousand, sixty-four".