1242535505540 has 72 divisors (see below), whose sum is σ = 3035531546712. Its totient is φ = 425984832000.

The previous prime is 1242535505513. The next prime is 1242535505543. The reversal of 1242535505540 is 455055352421.

It can be written as a sum of positive squares in 4 ways, for example, as 70287553924 + 1172247951616 = 265118^2 + 1082704^2 .

It is a super-3 number, since 3×1242535505540³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1242535505543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20550794 + ... + 20611166.

It is an arithmetic number, because the mean of its divisors is an integer number (42160160371).

Almost surely, 2^{1242535505540} is an apocalyptic number.

1242535505540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1242535505540 is an abundant number, since it is smaller than the sum of its proper divisors (1792996041172).

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

1242535505540 is a wasteful number, since it uses less digits than its factorization.

1242535505540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81397 (or 81388 counting only the distinct ones).

The product of its (nonzero) digits is 600000, while the sum is 41.

The spelling of 1242535505540 in words is "one trillion, two hundred forty-two billion, five hundred thirty-five million, five hundred five thousand, five hundred forty".