1020440120 has 64 divisors (see below), whose sum is σ = 2627985600. Its totient is φ = 349332480.

The previous prime is 1020440107. The next prime is 1020440123. The reversal of 1020440120 is 210440201.

It is a super-2 number, since 2×1020440120² = 2082596077011228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1020440095 and 1020440104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020440123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210686 + ... + 215474.

It is an arithmetic number, because the mean of its divisors is an integer number (41062275).

Almost surely, 2^1020440120 is an apocalyptic number.

1020440120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020440120 is an abundant number, since it is smaller than the sum of its proper divisors (1607545480).

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

1020440120 is a wasteful number, since it uses less digits than its factorization.

1020440120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1020440120 is about 31944.3284480986. The cubic root of 1020440120 is about 1006.7674713511.

Adding to 1020440120 its reverse (210440201), we get a palindrome (1230880321).

The spelling of 1020440120 in words is "one billion, twenty million, four hundred forty thousand, one hundred twenty".