40201214200 has 192 divisors, whose sum is σ = 107925592320. Its totient is φ = 13641600000.

The previous prime is 40201214167. The next prime is 40201214213. The reversal of 40201214200 is 241210204.

It is a super-2 number, since 2×40201214200² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 81875955 + ... + 81876445.

It is an arithmetic number, because the mean of its divisors is an integer number (562112460).

Almost surely, 2^40201214200 is an apocalyptic number.

40201214200 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 40201214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53962796160).

40201214200 is an abundant number, since it is smaller than the sum of its proper divisors (67724378120).

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

40201214200 is a wasteful number, since it uses less digits than its factorization.

40201214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40201214200 its reverse (241210204), we get a palindrome (40442424404).

The spelling of 40201214200 in words is "forty billion, two hundred one million, two hundred fourteen thousand, two hundred".