1131110400 has 336 divisors, whose sum is σ = 4290511104. Its totient is φ = 257556480.

The previous prime is 1131110381. The next prime is 1131110401. The reversal of 1131110400 is 40111311.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131110401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4300669 + ... + 4300931.

Almost surely, 2^1131110400 is an apocalyptic number.

1131110400 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 1131110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145255552).

1131110400 is an abundant number, since it is smaller than the sum of its proper divisors (3159400704).

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

1131110400 is an equidigital number, since it uses as much as digits as its factorization.

1131110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1131110400 is about 33631.9847764000. The cubic root of 1131110400 is about 1041.9214969784.

Adding to 1131110400 its reverse (40111311), we get a palindrome (1171221711).

The spelling of 1131110400 in words is "one billion, one hundred thirty-one million, one hundred ten thousand, four hundred".