40424024400032 has 96 divisors (see below), whose sum is σ = 97982313593472. Its totient is φ = 15986731060224.

The previous prime is 40424024400017. The next prime is 40424024400091. The reversal of 40424024400032 is 23000442042404.

It is a junction number, because it is equal to n+sod(n) for n = 40424024399968 and 40424024400004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6726338 + ... + 11229054.

It is an arithmetic number, because the mean of its divisors is an integer number (1020649099932).

Almost surely, 2^{40424024400032} 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 40424024400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48991156796736).

40424024400032 is an abundant number, since it is smaller than the sum of its proper divisors (57558289193440).

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

40424024400032 is a wasteful number, since it uses less digits than its factorization.

40424024400032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4505830 (or 4505822 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 40424024400032 its reverse (23000442042404), we get a palindrome (63424466442436).

The spelling of 40424024400032 in words is "forty trillion, four hundred twenty-four billion, twenty-four million, four hundred thousand, thirty-two".