11404957346440 has 96 divisors (see below), whose sum is σ = 29901071744280. Its totient is φ = 3903676643328.

The previous prime is 11404957346429. The next prime is 11404957346513. The reversal of 11404957346440 is 4464375940411.

It can be written as a sum of positive squares in 4 ways, for example, as 6097472121636 + 5307485224804 = 2469306^2 + 2303798^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3744007 + ... + 6068566.

Almost surely, 2^{11404957346440} is an apocalyptic number.

11404957346440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11404957346440 is an abundant number, since it is smaller than the sum of its proper divisors (18496114397840).

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

11404957346440 is a wasteful number, since it uses less digits than its factorization.

11404957346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813191 (or 9813180 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 52.

The spelling of 11404957346440 in words is "eleven trillion, four hundred four billion, nine hundred fifty-seven million, three hundred forty-six thousand, four hundred forty".