4132414233240 has 192 divisors, whose sum is σ = 13087751787360. Its totient is φ = 1043684628480.

The previous prime is 4132414233239. The next prime is 4132414233257. The reversal of 4132414233240 is 423324142314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182669130 + ... + 182691750.

Almost surely, 2^{4132414233240} is an apocalyptic number.

4132414233240 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 4132414233240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543875893680).

4132414233240 is an abundant number, since it is smaller than the sum of its proper divisors (8955337554120).

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

4132414233240 is a wasteful number, since it uses less digits than its factorization.

4132414233240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26890 (or 26867 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4132414233240 its reverse (423324142314), we get a palindrome (4555738375554).

The spelling of 4132414233240 in words is "four trillion, one hundred thirty-two billion, four hundred fourteen million, two hundred thirty-three thousand, two hundred forty".