1408100000 has 72 divisors (see below), whose sum is σ = 3465270396. Its totient is φ = 563200000.

The previous prime is 1408099999. The next prime is 1408100033. The reversal of 1408100000 is 18041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 42354064 + 1365745936 = 6508^2 + 36956^2 .

It is a super-2 number, since 2×1408100000² = 3965491220000000000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 92960 + ... + 107040.

Almost surely, 2^1408100000 is an apocalyptic number.

1408100000 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 1408100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732635198).

1408100000 is an abundant number, since it is smaller than the sum of its proper divisors (2057170396).

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

1408100000 is an frugal number, since it uses more digits than its factorization.

1408100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14116 (or 14088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1408100000 is about 37524.6585594060. The cubic root of 1408100000 is about 1120.8422660974.

Adding to 1408100000 its reverse (18041), we get a palindrome (1408118041).

The spelling of 1408100000 in words is "one billion, four hundred eight million, one hundred thousand".