40224442000 has 40 divisors (see below), whose sum is σ = 97262705592. Its totient is φ = 16089776000.

The previous prime is 40224441953. The next prime is 40224442001. The reversal of 40224442000 is 24442204.

It can be written as a sum of positive squares in 4 ways, for example, as 309197056 + 39915244944 = 17584^2 + 199788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×40224442000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40224442001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10054111 + ... + 10058110.

Almost surely, 2^40224442000 is an apocalyptic number.

40224442000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40224442000 is an abundant number, since it is smaller than the sum of its proper divisors (57038263592).

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

40224442000 is a wasteful number, since it uses less digits than its factorization.

40224442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20112244 (or 20112228 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 40224442000 its reverse (24442204), we get a palindrome (40248884204).

The spelling of 40224442000 in words is "forty billion, two hundred twenty-four million, four hundred forty-two thousand".