11286400491310 has 64 divisors (see below), whose sum is σ = 24441110553600. Its totient is φ = 3665750729472.

The previous prime is 11286400491307. The next prime is 11286400491319. The reversal of 11286400491310 is 1319400468211.

It is a happy number.

It is a super-2 number, since 2×11286400491310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286400491319) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 24146079 + ... + 24609061.

It is an arithmetic number, because the mean of its divisors is an integer number (381892352400).

Almost surely, 2^{11286400491310} is an apocalyptic number.

11286400491310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11286400491310 is an abundant number, since it is smaller than the sum of its proper divisors (13154710062290).

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

11286400491310 is a wasteful number, since it uses less digits than its factorization.

11286400491310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481345.

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 11286400491310 in words is "eleven trillion, two hundred eighty-six billion, four hundred million, four hundred ninety-one thousand, three hundred ten".