40431412142200 has 96 divisors (see below), whose sum is σ = 94248901568160. Its totient is φ = 16130308147200.

The previous prime is 40431412142161. The next prime is 40431412142203. The reversal of 40431412142200 is 224121413404.

40431412142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40431412142203) 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 23 ways as a sum of consecutive naturals, for example, 150643324 + ... + 150911476.

It is an arithmetic number, because the mean of its divisors is an integer number (981759391335).

Almost surely, 2^{40431412142200} is an apocalyptic number.

40431412142200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40431412142200 is an abundant number, since it is smaller than the sum of its proper divisors (53817489425960).

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

40431412142200 is a wasteful number, since it uses less digits than its factorization.

40431412142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270137 (or 270128 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 40431412142200 its reverse (224121413404), we get a palindrome (40655533555604).

The spelling of 40431412142200 in words is "forty trillion, four hundred thirty-one billion, four hundred twelve million, one hundred forty-two thousand, two hundred".