1020331222400 has 384 divisors, whose sum is σ = 2987097384960. Its totient is φ = 336999628800.

The previous prime is 1020331222249. The next prime is 1020331222423. The reversal of 1020331222400 is 42221330201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157625564 + ... + 157632036.

It is an arithmetic number, because the mean of its divisors is an integer number (7778899440).

Almost surely, 2^{1020331222400} is an apocalyptic number.

1020331222400 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 1020331222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493548692480).

1020331222400 is an abundant number, since it is smaller than the sum of its proper divisors (1966766162560).

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

1020331222400 is a wasteful number, since it uses less digits than its factorization.

1020331222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1020331222400 its reverse (42221330201), we get a palindrome (1062552552601).

The spelling of 1020331222400 in words is "one trillion, twenty billion, three hundred thirty-one million, two hundred twenty-two thousand, four hundred".