4134233840 has 80 divisors (see below), whose sum is σ = 10663781760. Its totient is φ = 1477858560.

The previous prime is 4134233837. The next prime is 4134233843. The reversal of 4134233840 is 483324314.

It is an interprime number because it is at equal distance from previous prime (4134233837) and next prime (4134233843).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4134233840² = 34183778887602291200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4134233797 and 4134233806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134233843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12107 + ... + 91733.

It is an arithmetic number, because the mean of its divisors is an integer number (133297272).

Almost surely, 2^4134233840 is an apocalyptic number.

4134233840 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 4134233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331890880).

4134233840 is an abundant number, since it is smaller than the sum of its proper divisors (6529547920).

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

4134233840 is a wasteful number, since it uses less digits than its factorization.

4134233840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79710 (or 79704 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 4134233840 is about 64298.0080562376. The cubic root of 4134233840 is about 1604.9629543440.

The spelling of 4134233840 in words is "four billion, one hundred thirty-four million, two hundred thirty-three thousand, eight hundred forty".