40565612220672 has 2304 divisors, whose sum is σ = 149825067614208. Its totient is φ = 9435656355840.

The previous prime is 40565612220667. The next prime is 40565612220689. The reversal of 40565612220672 is 27602221656504.

It is a super-2 number, since 2×40565612220672² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 255 ways as a sum of consecutive naturals, for example, 178703137423 + ... + 178703137649.

It is an arithmetic number, because the mean of its divisors is an integer number (65028241152).

Almost surely, 2^{40565612220672} is an apocalyptic number.

40565612220672 is a gapful number since it is divisible by the number (42) 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 40565612220672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74912533807104).

40565612220672 is an abundant number, since it is smaller than the sum of its proper divisors (109259455393536).

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

40565612220672 is a wasteful number, since it uses less digits than its factorization.

40565612220672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 40565612220672 in words is "forty trillion, five hundred sixty-five billion, six hundred twelve million, two hundred twenty thousand, six hundred seventy-two".