10142495772480 has 168 divisors, whose sum is σ = 34887443128200. Its totient is φ = 2704550510592.

The previous prime is 10142495772421. The next prime is 10142495772527. The reversal of 10142495772480 is 8427759424101.

It is a happy number.

10142495772480 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 4 + 95 + 7 + 72 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2449062144 + 10140046710336 = 49488^2 + 3184344^2 .

It is a congruent number.

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, 84061636 + ... + 84182204.

Almost surely, 2^{10142495772480} is an apocalyptic number.

10142495772480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10142495772480 is an abundant number, since it is smaller than the sum of its proper divisors (24744947355720).

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

10142495772480 is a wasteful number, since it uses less digits than its factorization.

10142495772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149801 (or 149788 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10142495772480 in words is "ten trillion, one hundred forty-two billion, four hundred ninety-five million, seven hundred seventy-two thousand, four hundred eighty".