42406166035500 has 192 divisors, whose sum is σ = 123635743096320. Its totient is φ = 11294676768000.

The previous prime is 42406166035483. The next prime is 42406166035523. The reversal of 42406166035500 is 553066160424.

42406166035500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 5416545586 + ... + 5416553414.

It is an arithmetic number, because the mean of its divisors is an integer number (643936161960).

Almost surely, 2^{42406166035500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42406166035500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61817871548160).

42406166035500 is an abundant number, since it is smaller than the sum of its proper divisors (81229577060820).

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

42406166035500 is a wasteful number, since it uses less digits than its factorization.

42406166035500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745 (or 11733 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 42406166035500 in words is "forty-two trillion, four hundred six billion, one hundred sixty-six million, thirty-five thousand, five hundred".