1042401020 has 48 divisors (see below), whose sum is σ = 2211300000. Its totient is φ = 412742400.

The previous prime is 1042401013. The next prime is 1042401023. The reversal of 1042401020 is 201042401.

It is a junction number, because it is equal to n+sod(n) for n = 1042400986 and 1042401004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042401023) 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 15 ways as a sum of consecutive naturals, for example, 1486670 + ... + 1487370.

It is an arithmetic number, because the mean of its divisors is an integer number (46068750).

Almost surely, 2^1042401020 is an apocalyptic number.

1042401020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042401020 is an abundant number, since it is smaller than the sum of its proper divisors (1168898980).

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

1042401020 is a wasteful number, since it uses less digits than its factorization.

1042401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1356 counting only the distinct ones).

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

The square root of 1042401020 is about 32286.2357669642. The cubic root of 1042401020 is about 1013.9384891890.

Adding to 1042401020 its reverse (201042401), we get a palindrome (1243443421).

The spelling of 1042401020 in words is "one billion, forty-two million, four hundred one thousand, twenty".