1214060400 has 600 divisors, whose sum is σ = 5123805984. Its totient is φ = 269568000.

The previous prime is 1214060383. The next prime is 1214060401. The reversal of 1214060400 is 40604121.

1214060400 is a `hidden beast` number, since 1 + 21 + 40 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214060401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 12020350 + ... + 12020450.

Almost surely, 2^1214060400 is an apocalyptic number.

1214060400 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 1214060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561902992).

1214060400 is an abundant number, since it is smaller than the sum of its proper divisors (3909745584).

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

1214060400 is a wasteful number, since it uses less digits than its factorization.

1214060400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1214060400 is about 34843.3695270707. The cubic root of 1214060400 is about 1066.7928539950.

Adding to 1214060400 its reverse (40604121), we get a palindrome (1254664521).

The spelling of 1214060400 in words is "one billion, two hundred fourteen million, sixty thousand, four hundred".