1020401118 has 128 divisors (see below), whose sum is σ = 2717798400. Its totient is φ = 280130400.

The previous prime is 1020401117. The next prime is 1020401131. The reversal of 1020401118 is 8111040201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1020401118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020401117) by changing a digit.

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, 257613 + ... + 261543.

It is an arithmetic number, because the mean of its divisors is an integer number (21232800).

Almost surely, 2^1020401118 is an apocalyptic number.

1020401118 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020401118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358899200).

1020401118 is an abundant number, since it is smaller than the sum of its proper divisors (1697397282).

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

1020401118 is a wasteful number, since it uses less digits than its factorization.

1020401118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1020401118 is about 31943.7179739616. The cubic root of 1020401118 is about 1006.7546447141.

Adding to 1020401118 its reverse (8111040201), we get a palindrome (9131441319).

The spelling of 1020401118 in words is "one billion, twenty million, four hundred one thousand, one hundred eighteen".