11424211314400 has 36 divisors (see below), whose sum is σ = 27889355873232. Its totient is φ = 4569684525440.

The previous prime is 11424211314389. The next prime is 11424211314497. The reversal of 11424211314400 is 441311242411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7140131272 + ... + 7140132871.

It is an arithmetic number, because the mean of its divisors is an integer number (774704329812).

Almost surely, 2^{11424211314400} is an apocalyptic number.

11424211314400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11424211314400 is an abundant number, since it is smaller than the sum of its proper divisors (16465144558832).

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

11424211314400 is a wasteful number, since it uses less digits than its factorization.

11424211314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14280264163 (or 14280264150 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 11424211314400 its reverse (441311242411), we get a palindrome (11865522556811).

The spelling of 11424211314400 in words is "eleven trillion, four hundred twenty-four billion, two hundred eleven million, three hundred fourteen thousand, four hundred".