1143020400 has 120 divisors (see below), whose sum is σ = 3681383424. Its totient is φ = 303148800.

The previous prime is 1143020387. The next prime is 1143020407. The reversal of 1143020400 is 40203411.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1143020400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143020407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 226707 + ... + 231693.

Almost surely, 2^1143020400 is an apocalyptic number.

1143020400 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 1143020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840691712).

1143020400 is an abundant number, since it is smaller than the sum of its proper divisors (2538363024).

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

1143020400 is a wasteful number, since it uses less digits than its factorization.

1143020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199 (or 5188 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1143020400 is about 33808.5847086210. The cubic root of 1143020400 is about 1045.5656987620.

Adding to 1143020400 its reverse (40203411), we get a palindrome (1183223811).

The spelling of 1143020400 in words is "one billion, one hundred forty-three million, twenty thousand, four hundred".