10524341254040 has 16 divisors (see below), whose sum is σ = 23679767821680. Its totient is φ = 4209736501600.

The previous prime is 10524341254019. The next prime is 10524341254061. The reversal of 10524341254040 is 4045214342501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10524341254019) and next prime (10524341254061).

It is a super-2 number, since 2×10524341254040² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131554265636 + ... + 131554265715.

It is an arithmetic number, because the mean of its divisors is an integer number (1479985488855).

Almost surely, 2^{10524341254040} is an apocalyptic number.

10524341254040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10524341254040 is an abundant number, since it is smaller than the sum of its proper divisors (13155426567640).

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

10524341254040 is a wasteful number, since it uses less digits than its factorization.

10524341254040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263108531362 (or 263108531358 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 10524341254040 its reverse (4045214342501), we get a palindrome (14569555596541).

The spelling of 10524341254040 in words is "ten trillion, five hundred twenty-four billion, three hundred forty-one million, two hundred fifty-four thousand, forty".