4022131313400 has 384 divisors, whose sum is σ = 13049507635200. Its totient is φ = 1023591628800.

The previous prime is 4022131313371. The next prime is 4022131313401. The reversal of 4022131313400 is 43131312204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022131313401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2370141352 + ... + 2370143048.

It is an arithmetic number, because the mean of its divisors is an integer number (33983092800).

Almost surely, 2^{4022131313400} is an apocalyptic number.

4022131313400 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 4022131313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524753817600).

4022131313400 is an abundant number, since it is smaller than the sum of its proper divisors (9027376321800).

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

4022131313400 is a wasteful number, since it uses less digits than its factorization.

4022131313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4022131313400 its reverse (43131312204), we get a palindrome (4065262625604).

The spelling of 4022131313400 in words is "four trillion, twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, four hundred".