1111444400 has 240 divisors, whose sum is σ = 3062991456. Its totient is φ = 384000000.

The previous prime is 1111444381. The next prime is 1111444423. The reversal of 1111444400 is 44441111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

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, 11004350 + ... + 11004450.

Almost surely, 2^1111444400 is an apocalyptic number.

1111444400 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 1111444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531495728).

1111444400 is an abundant number, since it is smaller than the sum of its proper divisors (1951547056).

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

1111444400 is a wasteful number, since it uses less digits than its factorization.

1111444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 1111444400 is about 33338.3322918229. The cubic root of 1111444400 is about 1035.8477189053.

Adding to 1111444400 its reverse (44441111), we get a palindrome (1155885511).

It can be divided in two parts, 1111 and 444400, that multiplied together give a square (493728400 = 22220²).

The spelling of 1111444400 in words is "one billion, one hundred eleven million, four hundred forty-four thousand, four hundred".