42541135663500 has 288 divisors, whose sum is σ = 134860402779648. Its totient is φ = 11288783116800.

The previous prime is 42541135663493. The next prime is 42541135663529. The reversal of 42541135663500 is 536653114524.

It is a happy number.

42541135663500 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 1 + 1 + 3 + 5 + 6 + 635 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2927202234 + ... + 2927216766.

Almost surely, 2^{42541135663500} 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 42541135663500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67430201389824).

42541135663500 is an abundant number, since it is smaller than the sum of its proper divisors (92319267116148).

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

42541135663500 is a wasteful number, since it uses less digits than its factorization.

42541135663500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17698 (or 17683 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 42541135663500 in words is "forty-two trillion, five hundred forty-one billion, one hundred thirty-five million, six hundred sixty-three thousand, five hundred".