1020421024 has 48 divisors (see below), whose sum is σ = 2304203328. Its totient is φ = 435750912.

The previous prime is 1020421021. The next prime is 1020421037. The reversal of 1020421024 is 4201240201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020420989 and 1020421007.

It is not an unprimeable number, because it can be changed into a prime (1020421021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55344 + ... + 71440.

It is an arithmetic number, because the mean of its divisors is an integer number (48004236).

Almost surely, 2^1020421024 is an apocalyptic number.

1020421024 is a gapful number since it is divisible by the number (14) 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 1020421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152101664).

1020421024 is an abundant number, since it is smaller than the sum of its proper divisors (1283782304).

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

1020421024 is a wasteful number, since it uses less digits than its factorization.

1020421024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16397 (or 16389 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1020421024 is about 31944.0295517018. The cubic root of 1020421024 is about 1006.7611912663.

Adding to 1020421024 its reverse (4201240201), we get a palindrome (5221661225).

The spelling of 1020421024 in words is "one billion, twenty million, four hundred twenty-one thousand, twenty-four".