1143542400 has 1152 divisors, whose sum is σ = 5450276160. Its totient is φ = 206438400.

The previous prime is 1143542347. The next prime is 1143542423. The reversal of 1143542400 is 42453411.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67267192 + ... + 67267208.

Almost surely, 2^1143542400 is an apocalyptic number.

1143542400 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 1143542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725138080).

1143542400 is an abundant number, since it is smaller than the sum of its proper divisors (4306733760).

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

1143542400 is a wasteful number, since it uses less digits than its factorization.

1143542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1143542400 is about 33816.3037601687. The cubic root of 1143542400 is about 1045.7248391797.

1143542400 divided by its product of nonzero digits (1920) gives a palindrome (595595).

Adding to 1143542400 its reverse (42453411), we get a palindrome (1185995811).

It can be divided in two parts, 11435 and 42400, that added together give a palindrome (53835).

The spelling of 1143542400 in words is "one billion, one hundred forty-three million, five hundred forty-two thousand, four hundred".