40312051200 has 180 divisors, whose sum is σ = 144266115708. Its totient is φ = 10749849600.

The previous prime is 40312051187. The next prime is 40312051207. The reversal of 40312051200 is 215021304.

40312051200 is a `hidden beast` number, since 403 + 12 + 0 + 51 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×40312051200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40312051207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 59766 + ... + 290165.

Almost surely, 2^40312051200 is an apocalyptic number.

40312051200 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 40312051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72133057854).

40312051200 is an abundant number, since it is smaller than the sum of its proper divisors (103954064508).

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

40312051200 is a wasteful number, since it uses less digits than its factorization.

40312051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349965 (or 349941 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 40312051200 its reverse (215021304), we get a palindrome (40527072504).

The spelling of 40312051200 in words is "forty billion, three hundred twelve million, fifty-one thousand, two hundred".