40224404352 has 128 divisors (see below), whose sum is σ = 119270574720. Its totient is φ = 11905689600.

The previous prime is 40224404351. The next prime is 40224404387. The reversal of 40224404352 is 25340442204.

40224404352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40224404351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70902 + ... + 292362.

It is an arithmetic number, because the mean of its divisors is an integer number (931801365).

Almost surely, 2^40224404352 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 40224404352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59635287360).

40224404352 is an abundant number, since it is smaller than the sum of its proper divisors (79046170368).

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

40224404352 is a wasteful number, since it uses less digits than its factorization.

40224404352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221532 (or 221520 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 40224404352 its reverse (25340442204), we get a palindrome (65564846556).

The spelling of 40224404352 in words is "forty billion, two hundred twenty-four million, four hundred four thousand, three hundred fifty-two".