1404141140 has 48 divisors (see below), whose sum is σ = 3066109200. Its totient is φ = 539492352.

The previous prime is 1404141107. The next prime is 1404141223. The reversal of 1404141140 is 411414041.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 241740304 + 1162400836 = 15548^2 + 34094^2 .

It is a super-2 number, since 2×1404141140² = 3943224682080999200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 108116 + ... + 120404.

It is an arithmetic number, because the mean of its divisors is an integer number (63877275).

Almost surely, 2^1404141140 is an apocalyptic number.

1404141140 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 1404141140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533054600).

1404141140 is an abundant number, since it is smaller than the sum of its proper divisors (1661968060).

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

1404141140 is a wasteful number, since it uses less digits than its factorization.

1404141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12524 (or 12522 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1404141140 is about 37471.8713170293. The cubic root of 1404141140 is about 1119.7908676273.

Adding to 1404141140 its reverse (411414041), we get a palindrome (1815555181).

The spelling of 1404141140 in words is "one billion, four hundred four million, one hundred forty-one thousand, one hundred forty".