1404340000 has 180 divisors, whose sum is σ = 4021754814. Its totient is φ = 481152000.

The previous prime is 1404339973. The next prime is 1404340013. The reversal of 1404340000 is 434041.

1404340000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 113806224 + 1290533776 = 10668^2 + 35924^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 979284 + ... + 980716.

Almost surely, 2^1404340000 is an apocalyptic number.

1404340000 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 1404340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010877407).

1404340000 is an abundant number, since it is smaller than the sum of its proper divisors (2617414814).

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

1404340000 is an equidigital number, since it uses as much as digits as its factorization.

1404340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1404340000 is about 37474.5246801077. The cubic root of 1404340000 is about 1119.8437281967.

Adding to 1404340000 its reverse (434041), we get a palindrome (1404774041).

The spelling of 1404340000 in words is "one billion, four hundred four million, three hundred forty thousand".