10142563332240 has 120 divisors (see below), whose sum is σ = 34065661975800. Its totient is φ = 2704401395712.

The previous prime is 10142563332227. The next prime is 10142563332283. The reversal of 10142563332240 is 4223336524101.

10142563332240 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 563 + 33 + 22 + 40 = 666.

10142563332240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1438387651584 + 8704175680656 = 1199328^2 + 2950284^2 .

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 10142563332195 and 10142563332204.

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, 6217314 + ... + 7677246.

It is an arithmetic number, because the mean of its divisors is an integer number (283880516465).

Almost surely, 2^{10142563332240} is an apocalyptic number.

10142563332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142563332240 is an abundant number, since it is smaller than the sum of its proper divisors (23923098643560).

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

10142563332240 is a wasteful number, since it uses less digits than its factorization.

10142563332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469601 (or 1469592 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 10142563332240 its reverse (4223336524101), we get a palindrome (14365899856341).

The spelling of 10142563332240 in words is "ten trillion, one hundred forty-two billion, five hundred sixty-three million, three hundred thirty-two thousand, two hundred forty".