1214358753960 has 576 divisors, whose sum is σ = 4680067850640. Its totient is φ = 271836364800.

The previous prime is 1214358753919. The next prime is 1214358753991. The reversal of 1214358753960 is 693578534121.

It is a happy number.

1214358753960 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 3 + 587 + 53 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 703353950244 + 511004803716 = 838662^2 + 714846^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1214358753897 and 1214358753906.

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 143 ways as a sum of consecutive naturals, for example, 39232090 + ... + 39263030.

It is a 1-persistent number, because it is pandigital, but 2⋅1214358753960 = 2428717507920 is not.

Almost surely, 2^{1214358753960} is an apocalyptic number.

1214358753960 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 1214358753960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340033925320).

1214358753960 is an abundant number, since it is smaller than the sum of its proper divisors (3465709096680).

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

1214358753960 is a wasteful number, since it uses less digits than its factorization.

1214358753960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31050 (or 31032 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1214358753960 in words is "one trillion, two hundred fourteen billion, three hundred fifty-eight million, seven hundred fifty-three thousand, nine hundred sixty".