40122566460 has 192 divisors, whose sum is σ = 126290841600. Its totient is φ = 10574302464.

The previous prime is 40122566431. The next prime is 40122566461. The reversal of 40122566460 is 6466522104.

40122566460 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 2 + 5 + 6 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122566461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35727459 + ... + 35728581.

It is an arithmetic number, because the mean of its divisors is an integer number (657764800).

Almost surely, 2^40122566460 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 40122566460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63145420800).

40122566460 is an abundant number, since it is smaller than the sum of its proper divisors (86168275140).

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

40122566460 is a wasteful number, since it uses less digits than its factorization.

40122566460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1849 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40122566460 in words is "forty billion, one hundred twenty-two million, five hundred sixty-six thousand, four hundred sixty".