40372135200 has 432 divisors, whose sum is σ = 148200264576. Its totient is φ = 10333440000.

The previous prime is 40372135189. The next prime is 40372135201. The reversal of 40372135200 is 253127304.

40372135200 is a `hidden beast` number, since 403 + 7 + 21 + 35 + 200 = 666.

It is not an unprimeable number, because it can be changed into a prime (40372135201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17934075 + ... + 17936325.

It is an arithmetic number, because the mean of its divisors is an integer number (343056168).

Almost surely, 2^40372135200 is an apocalyptic number.

40372135200 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 40372135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74100132288).

40372135200 is an abundant number, since it is smaller than the sum of its proper divisors (107828129376).

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

40372135200 is a wasteful number, since it uses less digits than its factorization.

40372135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 40372135200 in words is "forty billion, three hundred seventy-two million, one hundred thirty-five thousand, two hundred".