40041001024 has 112 divisors (see below), whose sum is σ = 84929472000. Its totient is φ = 18686345216.

The previous prime is 40041001009. The next prime is 40041001037. The reversal of 40041001024 is 42010014004.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 40041000989 and 40041001007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31062972 + ... + 31064260.

Almost surely, 2^40041001024 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 40041001024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42464736000).

40041001024 is an abundant number, since it is smaller than the sum of its proper divisors (44888470976).

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

40041001024 is a wasteful number, since it uses less digits than its factorization.

40041001024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40041001024 its reverse (42010014004), we get a palindrome (82051015028).

The spelling of 40041001024 in words is "forty billion, forty-one million, one thousand, twenty-four".