1142400020 has 24 divisors (see below), whose sum is σ = 2399999784. Its totient is φ = 456777216.

The previous prime is 1142399971. The next prime is 1142400031. The reversal of 1142400020 is 200042411.

It can be written as a sum of positive squares in 4 ways, for example, as 222248464 + 920151556 = 14908^2 + 30334^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1142399968 and 1142400004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47144 + ... + 67136.

It is an arithmetic number, because the mean of its divisors is an integer number (99999991).

Almost surely, 2^1142400020 is an apocalyptic number.

1142400020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142400020 is an abundant number, since it is smaller than the sum of its proper divisors (1257599764).

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

1142400020 is a wasteful number, since it uses less digits than its factorization.

1142400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22859 (or 22857 counting only the distinct ones).

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

The square root of 1142400020 is about 33799.4085747073. The cubic root of 1142400020 is about 1045.3765025365.

Adding to 1142400020 its reverse (200042411), we get a palindrome (1342442431).

The spelling of 1142400020 in words is "one billion, one hundred forty-two million, four hundred thousand, twenty".