11127370672340 has 48 divisors (see below), whose sum is σ = 26645269511952. Its totient is φ = 3866887182336.

The previous prime is 11127370672307. The next prime is 11127370672343. The reversal of 11127370672340 is 4327607372111.

It can be written as a sum of positive squares in 8 ways, for example, as 203433473296 + 10923937199044 = 451036^2 + 3305138^2 .

It is a super-3 number, since 3×11127370672340³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11127370672291 and 11127370672300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11127370672343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1258747919 + ... + 1258756758.

It is an arithmetic number, because the mean of its divisors is an integer number (555109781499).

Almost surely, 2^{11127370672340} is an apocalyptic number.

11127370672340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11127370672340 is an abundant number, since it is smaller than the sum of its proper divisors (15517898839612).

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

11127370672340 is a wasteful number, since it uses less digits than its factorization.

11127370672340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517504716 (or 2517504714 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 44.

The spelling of 11127370672340 in words is "eleven trillion, one hundred twenty-seven billion, three hundred seventy million, six hundred seventy-two thousand, three hundred forty".