4234133323040 has 48 divisors (see below), whose sum is σ = 10003778701560. Its totient is φ = 1693545185280.

The previous prime is 4234133323033. The next prime is 4234133323061. The reversal of 4234133323040 is 403233314324.

It can be written as a sum of positive squares in 4 ways, for example, as 1898652503056 + 2335480819984 = 1377916^2 + 1528228^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 4234133322988 and 4234133323006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1692470 + ... + 3366410.

Almost surely, 2^{4234133323040} is an apocalyptic number.

4234133323040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4234133323040 is an abundant number, since it is smaller than the sum of its proper divisors (5769645378520).

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

4234133323040 is a wasteful number, since it uses less digits than its factorization.

4234133323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689765 (or 1689757 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 4234133323040 its reverse (403233314324), we get a palindrome (4637366637364).

The spelling of 4234133323040 in words is "four trillion, two hundred thirty-four billion, one hundred thirty-three million, three hundred twenty-three thousand, forty".