4331414000000 has 112 divisors (see below), whose sum is σ = 10786102951740. Its totient is φ = 1732564800000.

The previous prime is 4331413999943. The next prime is 4331414000003. The reversal of 4331414000000 is 4141334.

It is a happy number.

It is a super-2 number, since 2×4331414000000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331414000003) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 917147 + ... + 3082853.

Almost surely, 2^{4331414000000} is an apocalyptic number.

4331414000000 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 4331414000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5393051475870).

4331414000000 is an abundant number, since it is smaller than the sum of its proper divisors (6454688951740).

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

4331414000000 is an frugal number, since it uses more digits than its factorization.

4331414000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165751 (or 2165714 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4331414000000 its reverse (4141334), we get a palindrome (4331418141334).

The spelling of 4331414000000 in words is "four trillion, three hundred thirty-one billion, four hundred fourteen million", and thus it is an aban number.