4122314331400 has 96 divisors (see below), whose sum is σ = 9671942518560. Its totient is φ = 1633869655040.

The previous prime is 4122314331347. The next prime is 4122314331431. The reversal of 4122314331400 is 41334132214.

It is a happy 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, 85923819 + ... + 85971781.

It is an arithmetic number, because the mean of its divisors is an integer number (100749401235).

Almost surely, 2^{4122314331400} is an apocalyptic number.

4122314331400 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 4122314331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4835971259280).

4122314331400 is an abundant number, since it is smaller than the sum of its proper divisors (5549628187160).

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

4122314331400 is a wasteful number, since it uses less digits than its factorization.

4122314331400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51895 (or 51886 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4122314331400 its reverse (41334132214), we get a palindrome (4163648463614).

The spelling of 4122314331400 in words is "four trillion, one hundred twenty-two billion, three hundred fourteen million, three hundred thirty-one thousand, four hundred".