11414662410 has 128 divisors (see below), whose sum is σ = 30374300160. Its totient is φ = 2730663936.

The previous prime is 11414662397. The next prime is 11414662411. The reversal of 11414662410 is 1426641411.

11414662410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11414662411) 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 63 ways as a sum of consecutive naturals, for example, 3669936 + ... + 3673044.

It is an arithmetic number, because the mean of its divisors is an integer number (237299220).

Almost surely, 2^11414662410 is an apocalyptic number.

11414662410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11414662410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187150080).

11414662410 is an abundant number, since it is smaller than the sum of its proper divisors (18959637750).

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

11414662410 is a wasteful number, since it uses less digits than its factorization.

11414662410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472.

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 11414662410 in words is "eleven billion, four hundred fourteen million, six hundred sixty-two thousand, four hundred ten".