424003432204040 has 128 divisors (see below), whose sum is σ = 1030222300957920. Its totient is φ = 156124252569600.

The previous prime is 424003432203913. The next prime is 424003432204129. The reversal of 424003432204040 is 40402234300424.

It can be written as a sum of positive squares in 16 ways, for example, as 4473165780196 + 419530266423844 = 2114986^2 + 20482438^2 .

It is a junction number, because it is equal to n+sod(n) for n = 424003432203988 and 424003432204006.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 581305970 + ... + 582034910.

Almost surely, 2^{424003432204040} is an apocalyptic number.

424003432204040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424003432204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515111150478960).

424003432204040 is an abundant number, since it is smaller than the sum of its proper divisors (606218868753880).

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

424003432204040 is a wasteful number, since it uses less digits than its factorization.

424003432204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732043 (or 732039 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 424003432204040 its reverse (40402234300424), we get a palindrome (464405666504464).

The spelling of 424003432204040 in words is "four hundred twenty-four trillion, three billion, four hundred thirty-two million, two hundred four thousand, forty".