1155143300400 has 1200 divisors, whose sum is σ = 4454027424000. Its totient is φ = 286146846720.

The previous prime is 1155143300393. The next prime is 1155143300401. The reversal of 1155143300400 is 40033415511.

It is a happy number.

1155143300400 is a `hidden beast` number, since 1 + 1 + 551 + 43 + 30 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1155143300401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5180014689 + ... + 5180014911.

It is an arithmetic number, because the mean of its divisors is an integer number (3711689520).

Almost surely, 2^{1155143300400} is an apocalyptic number.

1155143300400 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 1155143300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227013712000).

1155143300400 is an abundant number, since it is smaller than the sum of its proper divisors (3298884123600).

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

1155143300400 is a wasteful number, since it uses less digits than its factorization.

1155143300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1155143300400 its reverse (40033415511), we get a palindrome (1195176715911).

The spelling of 1155143300400 in words is "one trillion, one hundred fifty-five billion, one hundred forty-three million, three hundred thousand, four hundred".