10134311422240 has 48 divisors (see below), whose sum is σ = 24767907668280. Its totient is φ = 3913940961280.

The previous prime is 10134311422229. The next prime is 10134311422253. The reversal of 10134311422240 is 4222411343101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9415594058256 + 718717363984 = 3068484^2 + 847772^2 .

It is a super-5 number, since 5×10134311422240⁵ (a number of 66 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10134311422199 and 10134311422208.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1092054781 + ... + 1092064060.

Almost surely, 2^{10134311422240} is an apocalyptic number.

10134311422240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134311422240 is an abundant number, since it is smaller than the sum of its proper divisors (14633596246040).

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

10134311422240 is a wasteful number, since it uses less digits than its factorization.

10134311422240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184118885 (or 2184118877 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10134311422240 its reverse (4222411343101), we get a palindrome (14356722765341).

The spelling of 10134311422240 in words is "ten trillion, one hundred thirty-four billion, three hundred eleven million, four hundred twenty-two thousand, two hundred forty".