4314334231100 has 72 divisors (see below), whose sum is σ = 9693271622160. Its totient is φ = 1664791636480.

The previous prime is 4314334231099. The next prime is 4314334231147. The reversal of 4314334231100 is 11324334134.

It is a happy number.

It is a super-2 number, since 2×4314334231100² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733104 + ... + 4012296.

It is an arithmetic number, because the mean of its divisors is an integer number (134628772530).

Almost surely, 2^{4314334231100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4314334231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846635811080).

4314334231100 is an abundant number, since it is smaller than the sum of its proper divisors (5378937391060).

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

4314334231100 is a wasteful number, since it uses less digits than its factorization.

4314334231100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280399 (or 1280392 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 4314334231100 its reverse (11324334134), we get a palindrome (4325658565234).

The spelling of 4314334231100 in words is "four trillion, three hundred fourteen billion, three hundred thirty-four million, two hundred thirty-one thousand, one hundred".