1418400000 has 324 divisors, whose sum is σ = 5137616484. Its totient is φ = 376320000.

The previous prime is 1418399977. The next prime is 1418400017. The reversal of 1418400000 is 48141.

It can be written as a sum of positive squares in 6 ways, for example, as 756470016 + 661929984 = 27504^2 + 25728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7199902 + ... + 7200098.

It is an arithmetic number, because the mean of its divisors is an integer number (15856841).

Almost surely, 2^1418400000 is an apocalyptic number.

1418400000 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 1418400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568808242).

1418400000 is an abundant number, since it is smaller than the sum of its proper divisors (3719216484).

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

1418400000 is an frugal number, since it uses more digits than its factorization.

1418400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1418400000 is about 37661.6515835405. The cubic root of 1418400000 is about 1123.5685497653.

Adding to 1418400000 its reverse (48141), we get a palindrome (1418448141).

The spelling of 1418400000 in words is "one billion, four hundred eighteen million, four hundred thousand".