40727347200 has 324 divisors, whose sum is σ = 145999495278. Its totient is φ = 10852761600.

The previous prime is 40727347103. The next prime is 40727347231. The reversal of 40727347200 is 274372704.

40727347200 is a `hidden beast` number, since 40 + 72 + 7 + 347 + 200 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 29331357696 + 11395989504 = 171264^2 + 106752^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29490510 + ... + 29491890.

Almost surely, 2^40727347200 is an apocalyptic number.

40727347200 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 40727347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72999747639).

40727347200 is an abundant number, since it is smaller than the sum of its proper divisors (105272148078).

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

40727347200 is an equidigital number, since it uses as much as digits as its factorization.

40727347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 40727347200 in words is "forty billion, seven hundred twenty-seven million, three hundred forty-seven thousand, two hundred".