40195084800 has 480 divisors, whose sum is σ = 145086213888. Its totient is φ = 9749790720.

The previous prime is 40195084799. The next prime is 40195084807. The reversal of 40195084800 is 848059104.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (40195084807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36441049 + ... + 36442151.

Almost surely, 2^40195084800 is an apocalyptic number.

40195084800 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 40195084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72543106944).

40195084800 is an abundant number, since it is smaller than the sum of its proper divisors (104891129088).

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

40195084800 is a wasteful number, since it uses less digits than its factorization.

40195084800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The spelling of 40195084800 in words is "forty billion, one hundred ninety-five million, eighty-four thousand, eight hundred".