40534135224200 has 192 divisors, whose sum is σ = 99049370434560. Its totient is φ = 15396964056320.

The previous prime is 40534135224181. The next prime is 40534135224257. The reversal of 40534135224200 is 242253143504.

It is a happy number.

It is a super-2 number, since 2×40534135224200² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635269499 + ... + 635333301.

It is an arithmetic number, because the mean of its divisors is an integer number (515882137680).

Almost surely, 2^{40534135224200} is an apocalyptic number.

40534135224200 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 40534135224200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49524685217280).

40534135224200 is an abundant number, since it is smaller than the sum of its proper divisors (58515235210360).

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

40534135224200 is a wasteful number, since it uses less digits than its factorization.

40534135224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64836 (or 64827 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 40534135224200 its reverse (242253143504), we get a palindrome (40776388367704).

The spelling of 40534135224200 in words is "forty trillion, five hundred thirty-four billion, one hundred thirty-five million, two hundred twenty-four thousand, two hundred".