40122108957312 has 512 divisors, whose sum is σ = 124204078080000. Its totient is φ = 12733565644800.

The previous prime is 40122108957269. The next prime is 40122108957317. The reversal of 40122108957312 is 21375980122104.

40122108957312 is a `hidden beast` number, since 40 + 1 + 2 + 21 + 0 + 8 + 9 + 573 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (40122108957317) 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, 7498055437 + ... + 7498060787.

It is an arithmetic number, because the mean of its divisors is an integer number (242586090000).

Almost surely, 2^{40122108957312} 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 40122108957312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62102039040000).

40122108957312 is an abundant number, since it is smaller than the sum of its proper divisors (84081969122688).

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

40122108957312 is a wasteful number, since it uses less digits than its factorization.

40122108957312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6429 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 40122108957312 in words is "forty trillion, one hundred twenty-two billion, one hundred eight million, nine hundred fifty-seven thousand, three hundred twelve".