322030142012400 has 480 divisors, whose sum is σ = 1097687793484800. Its totient is φ = 80565525196800.

The previous prime is 322030142012387. The next prime is 322030142012483. The reversal of 322030142012400 is 4210241030223.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 226640170 + ... + 228056630.

It is an arithmetic number, because the mean of its divisors is an integer number (2286849569760).

Almost surely, 2^{322030142012400} is an apocalyptic number.

322030142012400 is a gapful number since it is divisible by the number (30) 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 322030142012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548843896742400).

322030142012400 is an abundant number, since it is smaller than the sum of its proper divisors (775657651472400).

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

322030142012400 is a wasteful number, since it uses less digits than its factorization.

322030142012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416697 (or 1416686 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 322030142012400 its reverse (4210241030223), we get a palindrome (326240383042623).

The spelling of 322030142012400 in words is "three hundred twenty-two trillion, thirty billion, one hundred forty-two million, twelve thousand, four hundred".