11134144200400 has 240 divisors, whose sum is σ = 29232911473920. Its totient is φ = 4050431078400.

The previous prime is 11134144200373. The next prime is 11134144200427. The reversal of 11134144200400 is 400244143111.

11134144200400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11134144200373) and next prime (11134144200427).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 594033429 + ... + 594052171.

It is an arithmetic number, because the mean of its divisors is an integer number (121803797808).

Almost surely, 2^{11134144200400} is an apocalyptic number.

11134144200400 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 11134144200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14616455736960).

11134144200400 is an abundant number, since it is smaller than the sum of its proper divisors (18098767273520).

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

11134144200400 is a wasteful number, since it uses less digits than its factorization.

11134144200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20454 (or 20443 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11134144200400 its reverse (400244143111), we get a palindrome (11534388343511).

The spelling of 11134144200400 in words is "eleven trillion, one hundred thirty-four billion, one hundred forty-four million, two hundred thousand, four hundred".