40242430200 has 192 divisors, whose sum is σ = 143081199360. Its totient is φ = 9165496320.

The previous prime is 40242430199. The next prime is 40242430211. The reversal of 40242430200 is 203424204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1171672 + ... + 1205528.

It is an arithmetic number, because the mean of its divisors is an integer number (745214580).

Almost surely, 2^40242430200 is an apocalyptic number.

40242430200 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 40242430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540599680).

40242430200 is an abundant number, since it is smaller than the sum of its proper divisors (102838769160).

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

40242430200 is a wasteful number, since it uses less digits than its factorization.

40242430200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34166 (or 34157 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 40242430200 its reverse (203424204), we get a palindrome (40445854404).

The spelling of 40242430200 in words is "forty billion, two hundred forty-two million, four hundred thirty thousand, two hundred".