42405961664196 has 405 divisors, whose sum is σ = 127595575286949. Its totient is φ = 12272957678592.

The previous prime is 42405961664107. The next prime is 42405961664201. The reversal of 42405961664196 is 69146616950424.

The square root of 42405961664196 is 6511986.

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

42405961664196 is a `hidden beast` number, since 4 + 2 + 4 + 0 + 5 + 9 + 616 + 6 + 4 + 1 + 9 + 6 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 42136326562500 + 269635101696 = 6491250^2 + 519264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 25904679490 + ... + 25904681126.

Almost surely, 2^{42405961664196} is an apocalyptic number.

42405961664196 is the 6511986-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42405961664196

42405961664196 is an abundant number, since it is smaller than the sum of its proper divisors (85189613622753).

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

42405961664196 is a wasteful number, since it uses less digits than its factorization.

42405961664196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 42405961664196 in words is "forty-two trillion, four hundred five billion, nine hundred sixty-one million, six hundred sixty-four thousand, one hundred ninety-six".