40122416356200 has 384 divisors, whose sum is σ = 146402683200000. Its totient is φ = 10064856268800.

The previous prime is 40122416356193. The next prime is 40122416356201. The reversal of 40122416356200 is 265361422104.

40122416356200 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 2 + 416 + 35 + 6 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40122416356201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183398880 + ... + 183617520.

It is an arithmetic number, because the mean of its divisors is an integer number (381256987500).

Almost surely, 2^{40122416356200} is an apocalyptic number.

40122416356200 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 40122416356200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73201341600000).

40122416356200 is an abundant number, since it is smaller than the sum of its proper divisors (106280266843800).

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

40122416356200 is a wasteful number, since it uses less digits than its factorization.

40122416356200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220682 (or 220667 counting only the distinct ones).

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

Adding to 40122416356200 its reverse (265361422104), we get a palindrome (40387777778304).

The spelling of 40122416356200 in words is "forty trillion, one hundred twenty-two billion, four hundred sixteen million, three hundred fifty-six thousand, two hundred".