42035886900 has 864 divisors, whose sum is σ = 167311791360. Its totient is φ = 8864640000.

The previous prime is 42035886877. The next prime is 42035886901. The reversal of 42035886900 is 968853024.

42035886900 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 588 + 69 + 0 + 0 = 666.

It is a super-2 number, since 2×42035886900² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035886901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 416196850 + ... + 416196950.

Almost surely, 2^42035886900 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 42035886900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655895680).

42035886900 is an abundant number, since it is smaller than the sum of its proper divisors (125275904460).

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

42035886900 is a wasteful number, since it uses less digits than its factorization.

42035886900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 42035886900 in words is "forty-two billion, thirty-five million, eight hundred eighty-six thousand, nine hundred".