1111328400 has 240 divisors, whose sum is σ = 4381913984. Its totient is φ = 234455040.

The previous prime is 1111328381. The next prime is 1111328419. The reversal of 1111328400 is 48231111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111328381) and next prime (1111328419).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 104112 + ... + 114288.

Almost surely, 2^1111328400 is an apocalyptic number.

1111328400 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 1111328400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190956992).

1111328400 is an abundant number, since it is smaller than the sum of its proper divisors (3270585584).

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

1111328400 is a wasteful number, since it uses less digits than its factorization.

1111328400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10218 (or 10207 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1111328400 is about 33336.5925073334. The cubic root of 1111328400 is about 1035.8116809604.

Adding to 1111328400 its reverse (48231111), we get a palindrome (1159559511).

The spelling of 1111328400 in words is "one billion, one hundred eleven million, three hundred twenty-eight thousand, four hundred".