40112467200 has 324 divisors, whose sum is σ = 154445631340. Its totient is φ = 9873653760.

The previous prime is 40112467183. The next prime is 40112467201. The reversal of 40112467200 is 276421104.

40112467200 is a `hidden beast` number, since 401 + 12 + 46 + 7 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11581203456 + 28531263744 = 107616^2 + 168912^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40112467201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 722016 + ... + 775584.

Almost surely, 2^40112467200 is an apocalyptic number.

40112467200 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 40112467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77222815670).

40112467200 is an abundant number, since it is smaller than the sum of its proper divisors (114333164140).

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

40112467200 is a wasteful number, since it uses less digits than its factorization.

40112467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53614 (or 53592 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 40112467200 its reverse (276421104), we get a palindrome (40388888304).

The spelling of 40112467200 in words is "forty billion, one hundred twelve million, four hundred sixty-seven thousand, two hundred".