40992704000 has 160 divisors (see below), whose sum is σ = 103462815456. Its totient is φ = 16197427200.

The previous prime is 40992703991. The next prime is 40992704033. The reversal of 40992704000 is 40729904.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5308142 + ... + 5315858.

Almost surely, 2^40992704000 is an apocalyptic number.

40992704000 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 40992704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51731407728).

40992704000 is an abundant number, since it is smaller than the sum of its proper divisors (62470111456).

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

40992704000 is an frugal number, since it uses more digits than its factorization.

40992704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7807 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 40992704000 in words is "forty billion, nine hundred ninety-two million, seven hundred four thousand".