1142144001400 has 96 divisors (see below), whose sum is σ = 2721641964480. Its totient is φ = 445544960000.

The previous prime is 1142144001367. The next prime is 1142144001413. The reversal of 1142144001400 is 41004412411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425200 + ... + 2857600.

It is an arithmetic number, because the mean of its divisors is an integer number (28350437130).

Almost surely, 2^{1142144001400} is an apocalyptic number.

1142144001400 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 1142144001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360820982240).

1142144001400 is an abundant number, since it is smaller than the sum of its proper divisors (1579497963080).

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

1142144001400 is a wasteful number, since it uses less digits than its factorization.

1142144001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432745 (or 432736 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 1142144001400 its reverse (41004412411), we get a palindrome (1183148413811).

The spelling of 1142144001400 in words is "one trillion, one hundred forty-two billion, one hundred forty-four million, one thousand, four hundred".