1403114020 has 144 divisors (see below), whose sum is σ = 3792555648. Its totient is φ = 431101440.

The previous prime is 1403114017. The next prime is 1403114029. The reversal of 1403114020 is 204113041.

It is a junction number, because it is equal to n+sod(n) for n = 1403113985 and 1403114003.

It is not an unprimeable number, because it can be changed into a prime (1403114029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786049 + ... + 787831.

It is an arithmetic number, because the mean of its divisors is an integer number (26337192).

Almost surely, 2^1403114020 is an apocalyptic number.

1403114020 is a gapful number since it is divisible by the number (10) 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 1403114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896277824).

1403114020 is an abundant number, since it is smaller than the sum of its proper divisors (2389441628).

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

1403114020 is a wasteful number, since it uses less digits than its factorization.

1403114020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1403114020 is about 37458.1635962042. The cubic root of 1403114020 is about 1119.5177611420.

Adding to 1403114020 its reverse (204113041), we get a palindrome (1607227061).

The spelling of 1403114020 in words is "one billion, four hundred three million, one hundred fourteen thousand, twenty".