1418120400 has 60 divisors (see below), whose sum is σ = 4542716192. Its totient is φ = 378165120.

The previous prime is 1418120371. The next prime is 1418120437. The reversal of 1418120400 is 40218141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1418120400² = 4022130937792320000, which contains 22 as substring.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 589684 + ... + 592083.

Almost surely, 2^1418120400 is an apocalyptic number.

1418120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1418120400 is an abundant number, since it is smaller than the sum of its proper divisors (3124595792).

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

1418120400 is a wasteful number, since it uses less digits than its factorization.

1418120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181788 (or 1181777 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 1418120400 is about 37657.9394019375. The cubic root of 1418120400 is about 1123.4947176514.

Adding to 1418120400 its reverse (40218141), we get a palindrome (1458338541).

The spelling of 1418120400 in words is "one billion, four hundred eighteen million, one hundred twenty thousand, four hundred".