1142131214400 has 672 divisors, whose sum is σ = 4333930229760. Its totient is φ = 260692992000.

The previous prime is 1142131214387. The next prime is 1142131214407. The reversal of 1142131214400 is 44121312411.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1142131214407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60552171 + ... + 60571029.

Almost surely, 2^{1142131214400} is an apocalyptic number.

1142131214400 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 1142131214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166965114880).

1142131214400 is an abundant number, since it is smaller than the sum of its proper divisors (3191799015360).

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

1142131214400 is a wasteful number, since it uses less digits than its factorization.

1142131214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18963 (or 18948 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1142131214400 its reverse (44121312411), we get a palindrome (1186252526811).

It can be divided in two parts, 1142131 and 214400, that added together give a palindrome (1356531).

The spelling of 1142131214400 in words is "one trillion, one hundred forty-two billion, one hundred thirty-one million, two hundred fourteen thousand, four hundred".