40304420212400 has 120 divisors (see below), whose sum is σ = 97194604970064. Its totient is φ = 16061313945600.

The previous prime is 40304420212391. The next prime is 40304420212417. The reversal of 40304420212400 is 421202440304.

It is a happy number.

It is a super-2 number, since 2×40304420212400² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40304420212400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638737652 + ... + 638800748.

Almost surely, 2^{40304420212400} is an apocalyptic number.

40304420212400 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 40304420212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48597302485032).

40304420212400 is an abundant number, since it is smaller than the sum of its proper divisors (56890184757664).

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

40304420212400 is a wasteful number, since it uses less digits than its factorization.

40304420212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69079 (or 69068 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40304420212400 its reverse (421202440304), we get a palindrome (40725622652704).

The spelling of 40304420212400 in words is "forty trillion, three hundred four billion, four hundred twenty million, two hundred twelve thousand, four hundred".