40045819872 has 96 divisors (see below), whose sum is σ = 109482637824. Its totient is φ = 12804825600.

The previous prime is 40045819867. The next prime is 40045819901. The reversal of 40045819872 is 27891854004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172797 + ... + 331587.

It is an arithmetic number, because the mean of its divisors is an integer number (1140444144).

Almost surely, 2^40045819872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40045819872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54741318912).

40045819872 is an abundant number, since it is smaller than the sum of its proper divisors (69436817952).

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

40045819872 is a wasteful number, since it uses less digits than its factorization.

40045819872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158912 (or 158904 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 40045819872 in words is "forty billion, forty-five million, eight hundred nineteen thousand, eight hundred seventy-two".