1111030166400 has 384 divisors, whose sum is σ = 4562441199360. Its totient is φ = 230863257600.

The previous prime is 1111030166387. The next prime is 1111030166401. The reversal of 1111030166400 is 46610301111.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1111030166401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12309 + ... + 1490708.

It is an arithmetic number, because the mean of its divisors is an integer number (11881357290).

Almost surely, 2^{1111030166400} is an apocalyptic number.

1111030166400 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 1111030166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281220599680).

1111030166400 is an abundant number, since it is smaller than the sum of its proper divisors (3451411032960).

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

1111030166400 is a wasteful number, since it uses less digits than its factorization.

1111030166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503062 (or 1503045 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 1111030166400 its reverse (46610301111), we get a palindrome (1157640467511).

The spelling of 1111030166400 in words is "one trillion, one hundred eleven billion, thirty million, one hundred sixty-six thousand, four hundred".