42136378492516 has 243 divisors, whose sum is σ = 95994406533753. Its totient is φ = 16124274936000.

The previous prime is 42136378492511. The next prime is 42136378492517. The reversal of 42136378492516 is 61529487363124.

The square root of 42136378492516 is 6491254.

It is a perfect power (a square), and thus also a powerful number.

42136378492516 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 only one way, i.e., 1370196666916 + 40766181825600 = 1170554^2 + 6384840^2 .

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (42136378492511) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 60978839731 + ... + 60978840421.

Almost surely, 2^{42136378492516} is an apocalyptic number.

42136378492516 is the 6491254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42136378492516

42136378492516 is an abundant number, since it is smaller than the sum of its proper divisors (53858028041237).

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

42136378492516 is an equidigital number, since it uses as much as digits as its factorization.

42136378492516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 772 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 61.

The spelling of 42136378492516 in words is "forty-two trillion, one hundred thirty-six billion, three hundred seventy-eight million, four hundred ninety-two thousand, five hundred sixteen".