11402414240 has 96 divisors (see below), whose sum is σ = 30807786240. Its totient is φ = 3906699264.

The previous prime is 11402414207. The next prime is 11402414249. The reversal of 11402414240 is 4241420411.

It is not an unprimeable number, because it can be changed into a prime (11402414249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281184 + ... + 2286176.

It is an arithmetic number, because the mean of its divisors is an integer number (320914440).

Almost surely, 2^11402414240 is an apocalyptic number.

11402414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11402414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403893120).

11402414240 is an abundant number, since it is smaller than the sum of its proper divisors (19405372000).

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

11402414240 is a wasteful number, since it uses less digits than its factorization.

11402414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7054 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 11402414240 its reverse (4241420411), we get a palindrome (15643834651).

The spelling of 11402414240 in words is "eleven billion, four hundred two million, four hundred fourteen thousand, two hundred forty".