1020233142420 has 384 divisors, whose sum is σ = 3238805606400. Its totient is φ = 238433476608.

The previous prime is 1020233142419. The next prime is 1020233142451. The reversal of 1020233142420 is 242413320201.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 277461622 + ... + 277465298.

It is an arithmetic number, because the mean of its divisors is an integer number (8434389600).

Almost surely, 2^{1020233142420} is an apocalyptic number.

1020233142420 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 1020233142420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619402803200).

1020233142420 is an abundant number, since it is smaller than the sum of its proper divisors (2218572463980).

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

1020233142420 is a wasteful number, since it uses less digits than its factorization.

1020233142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3967 (or 3965 counting only the distinct ones).

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

Adding to 1020233142420 its reverse (242413320201), we get a palindrome (1262646462621).

The spelling of 1020233142420 in words is "one trillion, twenty billion, two hundred thirty-three million, one hundred forty-two thousand, four hundred twenty".