1020442120420 has 48 divisors (see below), whose sum is σ = 2170674874368. Its totient is φ = 402913797120.

The previous prime is 1020442120393. The next prime is 1020442120471. The reversal of 1020442120420 is 240212440201.

1020442120420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020442120420² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1020442120391 and 1020442120400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56335 + ... + 1429705.

It is an arithmetic number, because the mean of its divisors is an integer number (45222393216).

Almost surely, 2^{1020442120420} is an apocalyptic number.

1020442120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020442120420 is an abundant number, since it is smaller than the sum of its proper divisors (1150232753948).

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

1020442120420 is a wasteful number, since it uses less digits than its factorization.

1020442120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373860 (or 1373858 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 1020442120420 its reverse (240212440201), we get a palindrome (1260654560621).

The spelling of 1020442120420 in words is "one trillion, twenty billion, four hundred forty-two million, one hundred twenty thousand, four hundred twenty".