4132430040 has 256 divisors, whose sum is σ = 13489182720. Its totient is φ = 1008967680.

The previous prime is 4132430017. The next prime is 4132430041. The reversal of 4132430040 is 400342314.

It is a junction number, because it is equal to n+sod(n) for n = 4132429989 and 4132430016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132430041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14918382 + ... + 14918658.

It is an arithmetic number, because the mean of its divisors is an integer number (52692120).

Almost surely, 2^4132430040 is an apocalyptic number.

4132430040 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 4132430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6744591360).

4132430040 is an abundant number, since it is smaller than the sum of its proper divisors (9356752680).

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

4132430040 is a wasteful number, since it uses less digits than its factorization.

4132430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 4132430040 is about 64283.9796527875. The cubic root of 4132430040 is about 1604.7295009051.

Adding to 4132430040 its reverse (400342314), we get a palindrome (4532772354).

The spelling of 4132430040 in words is "four billion, one hundred thirty-two million, four hundred thirty thousand, forty".