1100510400000 has 960 divisors, whose sum is σ = 4211932919040. Its totient is φ = 252518400000.

The previous prime is 1100510399983. The next prime is 1100510400013. The reversal of 1100510400000 is 40150011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1100510400000² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1003199452 + ... + 1003200548.

It is an arithmetic number, because the mean of its divisors is an integer number (4387430124).

Almost surely, 2^{1100510400000} is an apocalyptic number.

1100510400000 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 1100510400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2105966459520).

1100510400000 is an abundant number, since it is smaller than the sum of its proper divisors (3111422519040).

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

1100510400000 is an equidigital number, since it uses as much as digits as its factorization.

1100510400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 1100510400000 its reverse (40150011), we get a palindrome (1100550550011).

The spelling of 1100510400000 in words is "one trillion, one hundred billion, five hundred ten million, four hundred thousand".