40300112534400 has 288 divisors, whose sum is σ = 143928889579800. Its totient is φ = 10737067069440.

The previous prime is 40300112534387. The next prime is 40300112534401. The reversal of 40300112534400 is 443521100304.

It is a happy number.

40300112534400 is a `hidden beast` number, since 4 + 0 + 3 + 0 + 0 + 1 + 1 + 253 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40300112534401) 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, 31543231 + ... + 32795969.

Almost surely, 2^{40300112534400} is an apocalyptic number.

40300112534400 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 40300112534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71964444789900).

40300112534400 is an abundant number, since it is smaller than the sum of its proper divisors (103628777045400).

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

40300112534400 is a wasteful number, since it uses less digits than its factorization.

40300112534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253886 (or 1253866 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40300112534400 its reverse (443521100304), we get a palindrome (40743633634704).

The spelling of 40300112534400 in words is "forty trillion, three hundred billion, one hundred twelve million, five hundred thirty-four thousand, four hundred".