1140042001200 has 120 divisors (see below), whose sum is σ = 3654221735376. Its totient is φ = 303820800000.

The previous prime is 1140042001187. The next prime is 1140042001249. The reversal of 1140042001200 is 21002400411.

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 1140042001200.

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, 1624500 + ... + 2217900.

Almost surely, 2^{1140042001200} is an apocalyptic number.

1140042001200 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 1140042001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827110867688).

1140042001200 is an abundant number, since it is smaller than the sum of its proper divisors (2514179734176).

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

1140042001200 is a wasteful number, since it uses less digits than its factorization.

1140042001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595023 (or 595012 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1140042001200 its reverse (21002400411), we get a palindrome (1161044401611).

The spelling of 1140042001200 in words is "one trillion, one hundred forty billion, forty-two million, one thousand, two hundred".