1214240400 has 180 divisors, whose sum is σ = 4230629520. Its totient is φ = 322502400.

The previous prime is 1214240399. The next prime is 1214240459. The reversal of 1214240400 is 40424121.

1214240400 is a `hidden beast` number, since 1 + 21 + 4 + 240 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

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, 1191091 + ... + 1192109.

Almost surely, 2^1214240400 is an apocalyptic number.

1214240400 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 1214240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115314760).

1214240400 is an abundant number, since it is smaller than the sum of its proper divisors (3016389120).

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

1214240400 is a wasteful number, since it uses less digits than its factorization.

1214240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1214240400 is about 34845.9524191835. The cubic root of 1214240400 is about 1066.8455732898.

Adding to 1214240400 its reverse (40424121), we get a palindrome (1254664521).

The spelling of 1214240400 in words is "one billion, two hundred fourteen million, two hundred forty thousand, four hundred".