40327563600 has 360 divisors, whose sum is σ = 142907427000. Its totient is φ = 10528358400.

The previous prime is 40327563583. The next prime is 40327563611. The reversal of 40327563600 is 636572304.

40327563600 is a `hidden beast` number, since 4 + 0 + 32 + 7 + 563 + 60 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10546468416 + 29781095184 = 102696^2 + 172572^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

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, 89816176 + ... + 89816624.

It is an arithmetic number, because the mean of its divisors is an integer number (396965075).

Almost surely, 2^40327563600 is an apocalyptic number.

40327563600 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 40327563600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71453713500).

40327563600 is an abundant number, since it is smaller than the sum of its proper divisors (102579863400).

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

40327563600 is a wasteful number, since it uses less digits than its factorization.

40327563600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 40327563600 in words is "forty billion, three hundred twenty-seven million, five hundred sixty-three thousand, six hundred".