40042044400224 has 48 divisors (see below), whose sum is σ = 105877595538288. Its totient is φ = 13249922230272.

The previous prime is 40042044400151. The next prime is 40042044400261. The reversal of 40042044400224 is 42200444024004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 40042044400191 and 40042044400200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522266517 + ... + 1522292820.

It is an arithmetic number, because the mean of its divisors is an integer number (2205783240381).

Almost surely, 2^{40042044400224} is an apocalyptic number.

It is an amenable number.

40042044400224 is an abundant number, since it is smaller than the sum of its proper divisors (65835551138064).

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

40042044400224 is a wasteful number, since it uses less digits than its factorization.

40042044400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044559487 (or 3044559479 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 40042044400224 its reverse (42200444024004), we get a palindrome (82242488424228).

The spelling of 40042044400224 in words is "forty trillion, forty-two billion, forty-four million, four hundred thousand, two hundred twenty-four".