40312195200 has 576 divisors, whose sum is σ = 153671492520. Its totient is φ = 10027008000.

The previous prime is 40312195169. The next prime is 40312195303. The reversal of 40312195200 is 259121304.

It can be written as a sum of positive squares in 12 ways, for example, as 13982589504 + 26329605696 = 118248^2 + 162264^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67074900 + ... + 67075500.

Almost surely, 2^40312195200 is an apocalyptic number.

40312195200 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 40312195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76835746260).

40312195200 is an abundant number, since it is smaller than the sum of its proper divisors (113359297320).

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

40312195200 is a wasteful number, since it uses less digits than its factorization.

40312195200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 40312195200 in words is "forty billion, three hundred twelve million, one hundred ninety-five thousand, two hundred".