1140000241000 has 64 divisors (see below), whose sum is σ = 2681422782480. Its totient is φ = 453637324800.

The previous prime is 1140000240991. The next prime is 1140000241063. The reversal of 1140000241000 is 1420000411.

It can be written as a sum of positive squares in 8 ways, for example, as 1814248836 + 1138185992164 = 42594^2 + 1066858^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2760369 + ... + 3146368.

Almost surely, 2^{1140000241000} is an apocalyptic number.

1140000241000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140000241000 is an abundant number, since it is smaller than the sum of its proper divisors (1541422541480).

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

1140000241000 is a wasteful number, since it uses less digits than its factorization.

1140000241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5906951 (or 5906937 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1140000241000 its reverse (1420000411), we get a palindrome (1141420241411).

The spelling of 1140000241000 in words is "one trillion, one hundred forty billion, two hundred forty-one thousand".