1214440400 has 60 divisors (see below), whose sum is σ = 2985588672. Its totient is φ = 474472320.

The previous prime is 1214440387. The next prime is 1214440427. The reversal of 1214440400 is 40444121.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18104 + ... + 52503.

Almost surely, 2^1214440400 is an apocalyptic number.

1214440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214440400 is an abundant number, since it is smaller than the sum of its proper divisors (1771148272).

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

1214440400 is a wasteful number, since it uses less digits than its factorization.

1214440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70668 (or 70657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1214440400 is about 34848.8220747847. The cubic root of 1214440400 is about 1066.9041441738.

Adding to 1214440400 its reverse (40444121), we get a palindrome (1254884521).

The spelling of 1214440400 in words is "one billion, two hundred fourteen million, four hundred forty thousand, four hundred".