1142114400 has 864 divisors, whose sum is σ = 5147670528. Its totient is φ = 232243200.

The previous prime is 1142114359. The next prime is 1142114411. The reversal of 1142114400 is 44112411.

1142114400 is a `hidden beast` number, since 1 + 14 + 211 + 440 + 0 = 666.

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

It is a congruent number.

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, 26560779 + ... + 26560821.

It is an arithmetic number, because the mean of its divisors is an integer number (5957952).

Almost surely, 2^1142114400 is an apocalyptic number.

1142114400 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 1142114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573835264).

1142114400 is an abundant number, since it is smaller than the sum of its proper divisors (4005556128).

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

1142114400 is a wasteful number, since it uses less digits than its factorization.

1142114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1142114400 is about 33795.1830887184. The cubic root of 1142114400 is about 1045.2893744674.

Adding to 1142114400 its reverse (44112411), we get a palindrome (1186226811).

The spelling of 1142114400 in words is "one billion, one hundred forty-two million, one hundred fourteen thousand, four hundred".