40121635222440 has 256 divisors, whose sum is σ = 137362242528000. Its totient is φ = 10410603356160.

The previous prime is 40121635222439. The next prime is 40121635222463. The reversal of 40121635222440 is 4422253612104.

40121635222440 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 163 + 52 + 2 + 2 + 440 = 666.

40121635222440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40121635222440² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40121635222395 and 40121635222404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15586752 + ... + 17977488.

It is an arithmetic number, because the mean of its divisors is an integer number (536571259875).

Almost surely, 2^{40121635222440} is an apocalyptic number.

40121635222440 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 40121635222440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68681121264000).

40121635222440 is an abundant number, since it is smaller than the sum of its proper divisors (97240607305560).

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

40121635222440 is a wasteful number, since it uses less digits than its factorization.

40121635222440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391177 (or 2391167 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 40121635222440 its reverse (4422253612104), we get a palindrome (44543888834544).

The spelling of 40121635222440 in words is "forty trillion, one hundred twenty-one billion, six hundred thirty-five million, two hundred twenty-two thousand, four hundred forty".