1020401424420 has 192 divisors, whose sum is σ = 3359673870336. Its totient is φ = 226542689280.

The previous prime is 1020401424403. The next prime is 1020401424437. The reversal of 1020401424420 is 244241040201.

It is an interprime number because it is at equal distance from previous prime (1020401424403) and next prime (1020401424437).

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 63 ways as a sum of consecutive naturals, for example, 3778419 + ... + 4039461.

It is an arithmetic number, because the mean of its divisors is an integer number (17498301408).

Almost surely, 2^{1020401424420} is an apocalyptic number.

1020401424420 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 1020401424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679836935168).

1020401424420 is an abundant number, since it is smaller than the sum of its proper divisors (2339272445916).

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

1020401424420 is a wasteful number, since it uses less digits than its factorization.

1020401424420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261330 (or 261328 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1020401424420 its reverse (244241040201), we get a palindrome (1264642464621).

The spelling of 1020401424420 in words is "one trillion, twenty billion, four hundred one million, four hundred twenty-four thousand, four hundred twenty".