1022131350400 has 192 divisors, whose sum is σ = 2539502372160. Its totient is φ = 406508544000.

The previous prime is 1022131350353. The next prime is 1022131350463. The reversal of 1022131350400 is 40531312201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 587093530 + ... + 587095270.

It is an arithmetic number, because the mean of its divisors is an integer number (13226574855).

Almost surely, 2^{1022131350400} is an apocalyptic number.

1022131350400 is a gapful number since it is divisible by the number (10) 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 1022131350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269751186080).

1022131350400 is an abundant number, since it is smaller than the sum of its proper divisors (1517371021760).

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

1022131350400 is a wasteful number, since it uses less digits than its factorization.

1022131350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2696 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 1022131350400 its reverse (40531312201), we get a palindrome (1062662662601).

The spelling of 1022131350400 in words is "one trillion, twenty-two billion, one hundred thirty-one million, three hundred fifty thousand, four hundred".