42129204516 has 243 divisors, whose sum is σ = 129352633137. Its totient is φ = 11970413280.

The previous prime is 42129204487. The next prime is 42129204521. The reversal of 42129204516 is 61540292124.

It is a happy number.

The square root of 42129204516 is 205254.

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

42129204516 is a `hidden beast` number, since 42 + 12 + 92 + 0 + 4 + 516 = 666.

It can be written as a sum of positive squares in only one way, i.e., 464230116 + 41664974400 = 21546^2 + 204120^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 232757946 + ... + 232758126.

Almost surely, 2^42129204516 is an apocalyptic number.

42129204516 is the 205254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42129204516

42129204516 is an abundant number, since it is smaller than the sum of its proper divisors (87223428621).

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

42129204516 is an frugal number, since it uses more digits than its factorization.

42129204516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 42129204516 by its sum of digits (36), we get a square (1516651362576 = 1231524²).

42129204516 divided by its sum of digits (36) gives a square (1170255681 = 34209²).

The spelling of 42129204516 in words is "forty-two billion, one hundred twenty-nine million, two hundred four thousand, five hundred sixteen".