11401126400 has 120 divisors (see below), whose sum is σ = 28313366400. Its totient is φ = 4549775360.

The previous prime is 11401126397. The next prime is 11401126417. The reversal of 11401126400 is 462110411.

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 11 ways as a sum of consecutive naturals, for example, 7666457 + ... + 7667943.

It is an arithmetic number, because the mean of its divisors is an integer number (235944720).

Almost surely, 2^11401126400 is an apocalyptic number.

11401126400 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 11401126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14156683200).

11401126400 is an abundant number, since it is smaller than the sum of its proper divisors (16912240000).

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

11401126400 is an equidigital number, since it uses as much as digits as its factorization.

11401126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11401126400 its reverse (462110411), we get a palindrome (11863236811).

The spelling of 11401126400 in words is "eleven billion, four hundred one million, one hundred twenty-six thousand, four hundred".