1105142000400 has 300 divisors, whose sum is σ = 3983612638500. Its totient is φ = 293415644160.

The previous prime is 1105142000399. The next prime is 1105142000437. The reversal of 1105142000400 is 40002415011.

1105142000400 is a `hidden beast` number, since 1 + 10 + 51 + 4 + 200 + 0 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 142992884736 + 962149115664 = 378144^2 + 980892^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×1105142000400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7345126 + ... + 7494074.

It is an arithmetic number, because the mean of its divisors is an integer number (13278708795).

Almost surely, 2^{1105142000400} is an apocalyptic number.

1105142000400 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 1105142000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991806319250).

1105142000400 is an abundant number, since it is smaller than the sum of its proper divisors (2878470638100).

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

1105142000400 is a wasteful number, since it uses less digits than its factorization.

1105142000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149208 (or 149188 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 1105142000400 its reverse (40002415011), we get a palindrome (1145144415411).

The spelling of 1105142000400 in words is "one trillion, one hundred five billion, one hundred forty-two million, four hundred", and thus it is an aban number.