1214141405600 has 36 divisors (see below), whose sum is σ = 2964022708374. Its totient is φ = 485656561920.

The previous prime is 1214141405537. The next prime is 1214141405623. The reversal of 1214141405600 is 65041414121.

It can be written as a sum of positive squares in 3 ways, for example, as 1043086371856 + 171055033744 = 1021316^2 + 413588^2 .

It is a super-2 number, since 2×1214141405600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 758837579 + ... + 758839178.

Almost surely, 2^{1214141405600} is an apocalyptic number.

1214141405600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214141405600 is an abundant number, since it is smaller than the sum of its proper divisors (1749881302774).

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

1214141405600 is a wasteful number, since it uses less digits than its factorization.

1214141405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517676777 (or 1517676764 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 1214141405600 its reverse (65041414121), we get a palindrome (1279182819721).

The spelling of 1214141405600 in words is "one trillion, two hundred fourteen billion, one hundred forty-one million, four hundred five thousand, six hundred".