1140512124240 has 120 divisors (see below), whose sum is σ = 3832859476680. Its totient is φ = 303926971392.

The previous prime is 1140512124137. The next prime is 1140512124277. The reversal of 1140512124240 is 424212150411.

1140512124240 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 512 + 124 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 191360752704 + 949151371536 = 437448^2 + 974244^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 501066 + ... + 1591254.

It is an arithmetic number, because the mean of its divisors is an integer number (31940495639).

Almost surely, 2^{1140512124240} is an apocalyptic number.

1140512124240 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 1140512124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916429738340).

1140512124240 is an abundant number, since it is smaller than the sum of its proper divisors (2692347352440).

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

1140512124240 is a wasteful number, since it uses less digits than its factorization.

1140512124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091661 (or 1091652 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 1140512124240 its reverse (424212150411), we get a palindrome (1564724274651).

The spelling of 1140512124240 in words is "one trillion, one hundred forty billion, five hundred twelve million, one hundred twenty-four thousand, two hundred forty".