40222572642 has 96 divisors (see below), whose sum is σ = 100783488000. Its totient is φ = 11355953760.

The previous prime is 40222572629. The next prime is 40222572667. The reversal of 40222572642 is 24627522204.

40222572642 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 2 + 5 + 7 + 2 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40222572597 and 40222572606.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6472917 + ... + 6479127.

It is an arithmetic number, because the mean of its divisors is an integer number (1049828000).

Almost surely, 2^40222572642 is an apocalyptic number.

40222572642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 40222572642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50391744000).

40222572642 is an abundant number, since it is smaller than the sum of its proper divisors (60560915358).

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

40222572642 is a wasteful number, since it uses less digits than its factorization.

40222572642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6828 (or 6825 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 40222572642 in words is "forty billion, two hundred twenty-two million, five hundred seventy-two thousand, six hundred forty-two".