40146207200 has 288 divisors, whose sum is σ = 114369742368. Its totient is φ = 13598720000.

The previous prime is 40146207191. The next prime is 40146207221. The reversal of 40146207200 is 270264104.

It is a super-2 number, since 2×40146207200² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40146207200.

It is a congruent number.

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, 15108272 + ... + 15110928.

It is an arithmetic number, because the mean of its divisors is an integer number (397117161).

Almost surely, 2^40146207200 is an apocalyptic number.

40146207200 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 40146207200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57184871184).

40146207200 is an abundant number, since it is smaller than the sum of its proper divisors (74223535168).

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

40146207200 is a wasteful number, since it uses less digits than its factorization.

40146207200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2793 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The spelling of 40146207200 in words is "forty billion, one hundred forty-six million, two hundred seven thousand, two hundred".