40998563424 has 1008 divisors, whose sum is σ = 158254508160. Its totient is φ = 10346434560.

The previous prime is 40998563407. The next prime is 40998563429. The reversal of 40998563424 is 42436589904.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40998563429) by changing a digit.

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 167 ways as a sum of consecutive naturals, for example, 460657972 + ... + 460658060.

It is an arithmetic number, because the mean of its divisors is an integer number (156998520).

Almost surely, 2^40998563424 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 40998563424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79127254080).

40998563424 is an abundant number, since it is smaller than the sum of its proper divisors (117255944736).

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

40998563424 is a wasteful number, since it uses less digits than its factorization.

40998563424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 40998563424 in words is "forty billion, nine hundred ninety-eight million, five hundred sixty-three thousand, four hundred twenty-four".