11127383461440 has 252 divisors, whose sum is σ = 40657386252756. Its totient is φ = 2792754855936.

The previous prime is 11127383461427. The next prime is 11127383461471. The reversal of 11127383461440 is 4416438372111.

11127383461440 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 73 + 83 + 4 + 61 + 440 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 160582929984 + 10966800531456 = 400728^2 + 3311616^2 .

It is a super-3 number, since 3×11127383461440³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5852239 + ... + 7516878.

Almost surely, 2^{11127383461440} is an apocalyptic number.

11127383461440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11127383461440 is an abundant number, since it is smaller than the sum of its proper divisors (29530002791316).

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

11127383461440 is a wasteful number, since it uses less digits than its factorization.

11127383461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13369174 (or 13369144 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 11127383461440 in words is "eleven trillion, one hundred twenty-seven billion, three hundred eighty-three million, four hundred sixty-one thousand, four hundred forty".