11414001440 has 24 divisors (see below), whose sum is σ = 26965578780. Its totient is φ = 4565600512.

The previous prime is 11414001437. The next prime is 11414001479. The reversal of 11414001440 is 4410041411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10715562256 + 698439184 = 103516^2 + 26428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35668595 + ... + 35668914.

Almost surely, 2^11414001440 is an apocalyptic number.

11414001440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11414001440 is an abundant number, since it is smaller than the sum of its proper divisors (15551577340).

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

11414001440 is an equidigital number, since it uses as much as digits as its factorization.

11414001440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71337524 (or 71337516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 11414001440 its reverse (4410041411), we get a palindrome (15824042851).

The spelling of 11414001440 in words is "eleven billion, four hundred fourteen million, one thousand, four hundred forty".