40027006620416 has 144 divisors (see below), whose sum is σ = 82047304231200. Its totient is φ = 19481903529984.

The previous prime is 40027006620413. The next prime is 40027006620463. The reversal of 40027006620416 is 61402660072004.

It is a super-2 number, since 2×40027006620416² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40027006620416.

It is not an unprimeable number, because it can be changed into a prime (40027006620413) 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 15 ways as a sum of consecutive naturals, for example, 3090166196 + ... + 3090179148.

It is an arithmetic number, because the mean of its divisors is an integer number (569772946050).

Almost surely, 2^{40027006620416} 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 40027006620416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41023652115600).

40027006620416 is an abundant number, since it is smaller than the sum of its proper divisors (42020297610784).

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

40027006620416 is a wasteful number, since it uses less digits than its factorization.

40027006620416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15014 (or 15000 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 40027006620416 in words is "forty trillion, twenty-seven billion, six million, six hundred twenty thousand, four hundred sixteen".