4234133404440 has 128 divisors (see below), whose sum is σ = 14115657412800. Its totient is φ = 1128951889920.

The previous prime is 4234133404427. The next prime is 4234133404493. The reversal of 4234133404440 is 444043314324.

4234133404440 is a `hidden beast` number, since 4 + 234 + 1 + 3 + 340 + 44 + 40 = 666.

4234133404440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4234133404440² (a number of 26 digits) contains 22 as substring.

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 = 4234133404395 and 4234133404404.

It is a congruent number.

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, 7973464 + ... + 8487896.

Almost surely, 2^{4234133404440} is an apocalyptic number.

4234133404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234133404440 is an abundant number, since it is smaller than the sum of its proper divisors (9881524008360).

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

4234133404440 is a wasteful number, since it uses less digits than its factorization.

4234133404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522074 (or 522064 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4234133404440 its reverse (444043314324), we get a palindrome (4678176718764).

The spelling of 4234133404440 in words is "four trillion, two hundred thirty-four billion, one hundred thirty-three million, four hundred four thousand, four hundred forty".