42169568316100 has 27 divisors (see below), whose sum is σ = 91508104161831. Its totient is φ = 16867801351200.

The previous prime is 42169568316097. The next prime is 42169568316151. The reversal of 42169568316100 is 161386596124.

It is a happy number.

The square root of 42169568316100 is 6493810.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2506376587716 + 39663191728384 = 1583154^2 + 6297872^2 .

It is a super-3 number, since 3×42169568316100³ (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64613410 + ... + 65262790.

Almost surely, 2^{42169568316100} is an apocalyptic number.

42169568316100 is the 6493810-th square number.

It is an amenable number.

42169568316100 is an abundant number, since it is smaller than the sum of its proper divisors (49338535845731).

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

42169568316100 is an frugal number, since it uses more digits than its factorization.

42169568316100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298776 (or 649388 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 42169568316100 in words is "forty-two trillion, one hundred sixty-nine billion, five hundred sixty-eight million, three hundred sixteen thousand, one hundred".