4132430244040 has 256 divisors, whose sum is σ = 10878244945920. Its totient is φ = 1383687567360.

The previous prime is 4132430244029. The next prime is 4132430244073. The reversal of 4132430244040 is 404420342314.

It is a junction number, because it is equal to n+sod(n) for n = 4132430243993 and 4132430244011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 886214749 + ... + 886219411.

It is an arithmetic number, because the mean of its divisors is an integer number (42493144320).

Almost surely, 2^{4132430244040} is an apocalyptic number.

4132430244040 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 4132430244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439122472960).

4132430244040 is an abundant number, since it is smaller than the sum of its proper divisors (6745814701880).

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

4132430244040 is a wasteful number, since it uses less digits than its factorization.

4132430244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5168 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4132430244040 its reverse (404420342314), we get a palindrome (4536850586354).

The spelling of 4132430244040 in words is "four trillion, one hundred thirty-two billion, four hundred thirty million, two hundred forty-four thousand, forty".