11376134440 has 48 divisors (see below), whose sum is σ = 28134790740. Its totient is φ = 4136774400.

The previous prime is 11376134381. The next prime is 11376134479. The reversal of 11376134440 is 4443167311.

It can be written as a sum of positive squares in 2 ways, for example, as 9875191876 + 1500942564 = 99374^2 + 38742^2 .

It is a super-2 number, since 2×11376134440² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (34) 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 = 11376134396 and 11376134405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1170381 + ... + 1180060.

Almost surely, 2^11376134440 is an apocalyptic number.

11376134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11376134440 is an abundant number, since it is smaller than the sum of its proper divisors (16758656300).

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

11376134440 is a wasteful number, since it uses less digits than its factorization.

11376134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350474 (or 2350459 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The spelling of 11376134440 in words is "eleven billion, three hundred seventy-six million, one hundred thirty-four thousand, four hundred forty".