40212422400 has 216 divisors, whose sum is σ = 133206081904. Its totient is φ = 10683187200.

The previous prime is 40212422363. The next prime is 40212422407. The reversal of 40212422400 is 422421204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40212422407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5314620 + ... + 5322180.

Almost surely, 2^40212422400 is an apocalyptic number.

40212422400 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 40212422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66603040952).

40212422400 is an abundant number, since it is smaller than the sum of its proper divisors (92993659504).

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

40212422400 is a wasteful number, since it uses less digits than its factorization.

40212422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7867 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 40212422400 its reverse (422421204), we get a palindrome (40634843604).

The spelling of 40212422400 in words is "forty billion, two hundred twelve million, four hundred twenty-two thousand, four hundred".