11261440469700 has 108 divisors (see below), whose sum is σ = 35308965841968. Its totient is φ = 3002148446400.

The previous prime is 11261440469687. The next prime is 11261440469701. The reversal of 11261440469700 is 796404416211.

11261440469700 is a `hidden beast` number, since 112 + 6 + 1 + 4 + 4 + 0 + 469 + 70 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11261440469701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1119679 + ... + 4876121.

Almost surely, 2^{11261440469700} is an apocalyptic number.

11261440469700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11261440469700 is an abundant number, since it is smaller than the sum of its proper divisors (24047525372268).

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

11261440469700 is a wasteful number, since it uses less digits than its factorization.

11261440469700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3759794 (or 3759784 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11261440469700 in words is "eleven trillion, two hundred sixty-one billion, four hundred forty million, four hundred sixty-nine thousand, seven hundred".