1100041200 has 180 divisors, whose sum is σ = 3940991808. Its totient is φ = 283852800.

The previous prime is 1100041199. The next prime is 1100041273. The reversal of 1100041200 is 21400011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×1100041200⁴ (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106672 + ... + 116528.

Almost surely, 2^1100041200 is an apocalyptic number.

1100041200 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 1100041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1970495904).

1100041200 is an abundant number, since it is smaller than the sum of its proper divisors (2840950608).

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

1100041200 is a wasteful number, since it uses less digits than its factorization.

1100041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9912 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1100041200 is about 33166.8690111081. The cubic root of 1100041200 is about 1032.2930031563.

Adding to 1100041200 its reverse (21400011), we get a palindrome (1121441211).

The spelling of 1100041200 in words is "one billion, one hundred million, forty-one thousand, two hundred".