1350414136224 has 72 divisors (see below), whose sum is σ = 3842362192032. Its totient is φ = 449889313920.

The previous prime is 1350414136177. The next prime is 1350414136249. The reversal of 1350414136224 is 4226314140531.

1350414136224 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 14 + 13 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1350414136224² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 773004 + ... + 1816139.

It is an arithmetic number, because the mean of its divisors is an integer number (53366141556).

Almost surely, 2^{1350414136224} is an apocalyptic number.

It is an amenable number.

1350414136224 is an abundant number, since it is smaller than the sum of its proper divisors (2491948055808).

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

1350414136224 is a wasteful number, since it uses less digits than its factorization.

1350414136224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590970 (or 2590959 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1350414136224 its reverse (4226314140531), we get a palindrome (5576728276755).

The spelling of 1350414136224 in words is "one trillion, three hundred fifty billion, four hundred fourteen million, one hundred thirty-six thousand, two hundred twenty-four".