42165088198940 has 576 divisors, whose sum is σ = 112876005271680. Its totient is φ = 13138070077440.

The previous prime is 42165088198921. The next prime is 42165088198979. The reversal of 42165088198940 is 4989188056124.

It is a hoax number, since the sum of its digits (65) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 29925540956 + ... + 29925542364.

It is an arithmetic number, because the mean of its divisors is an integer number (195965286930).

Almost surely, 2^{42165088198940} 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 42165088198940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56438002635840).

42165088198940 is an abundant number, since it is smaller than the sum of its proper divisors (70710917072740).

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

42165088198940 is a wasteful number, since it uses less digits than its factorization.

42165088198940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 65.

The spelling of 42165088198940 in words is "forty-two trillion, one hundred sixty-five billion, eighty-eight million, one hundred ninety-eight thousand, nine hundred forty".