40213304012440 has 256 divisors, whose sum is σ = 111130252369920. Its totient is φ = 12935792517120.

The previous prime is 40213304012419. The next prime is 40213304012443. The reversal of 40213304012440 is 4421040331204.

40213304012440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40213304012399 and 40213304012408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40213304012443) by changing a digit.

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, 3112867 + ... + 9492973.

It is an arithmetic number, because the mean of its divisors is an integer number (434102548320).

Almost surely, 2^{40213304012440} is an apocalyptic number.

40213304012440 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 40213304012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55565126184960).

40213304012440 is an abundant number, since it is smaller than the sum of its proper divisors (70916948357480).

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

40213304012440 is a wasteful number, since it uses less digits than its factorization.

40213304012440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380202 (or 6380198 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 40213304012440 its reverse (4421040331204), we get a palindrome (44634344343644).

The spelling of 40213304012440 in words is "forty trillion, two hundred thirteen billion, three hundred four million, twelve thousand, four hundred forty".