4114332433440 has 192 divisors, whose sum is σ = 14405107651200. Its totient is φ = 1096778621952.

The previous prime is 4114332433429. The next prime is 4114332433441. The reversal of 4114332433440 is 443342334114.

4114332433440 is a `hidden beast` number, since 4 + 1 + 143 + 32 + 43 + 3 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4114332433395 and 4114332433404.

It is not an unprimeable number, because it can be changed into a prime (4114332433441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12534454 + ... + 12858506.

It is an arithmetic number, because the mean of its divisors is an integer number (75026602350).

Almost surely, 2^{4114332433440} is an apocalyptic number.

4114332433440 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 4114332433440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7202553825600).

4114332433440 is an abundant number, since it is smaller than the sum of its proper divisors (10290775217760).

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

4114332433440 is a wasteful number, since it uses less digits than its factorization.

4114332433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327016 (or 327002 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 4114332433440 its reverse (443342334114), we get a palindrome (4557674767554).

The spelling of 4114332433440 in words is "four trillion, one hundred fourteen billion, three hundred thirty-two million, four hundred thirty-three thousand, four hundred forty".