40122660160 has 448 divisors, whose sum is σ = 116799750144. Its totient is φ = 12954009600.

The previous prime is 40122660089. The next prime is 40122660169. The reversal of 40122660160 is 6106622104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122660169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79766469 + ... + 79766971.

It is an arithmetic number, because the mean of its divisors is an integer number (260713728).

Almost surely, 2^40122660160 is an apocalyptic number.

40122660160 is a gapful number since it is divisible by the number (40) 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 40122660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58399875072).

40122660160 is an abundant number, since it is smaller than the sum of its proper divisors (76677089984).

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

40122660160 is a wasteful number, since it uses less digits than its factorization.

40122660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 40122660160 in words is "forty billion, one hundred twenty-two million, six hundred sixty thousand, one hundred sixty".