42154910208 has 120 divisors (see below), whose sum is σ = 121866716400. Its totient is φ = 14027986944.

The previous prime is 42154910153. The next prime is 42154910221. The reversal of 42154910208 is 80201945124.

42154910208 is a `hidden beast` number, since 4 + 2 + 1 + 549 + 102 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2844963 + ... + 2859741.

It is an arithmetic number, because the mean of its divisors is an integer number (1015555970).

Almost surely, 2^42154910208 is an apocalyptic number.

42154910208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42154910208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933358200).

42154910208 is an abundant number, since it is smaller than the sum of its proper divisors (79711806192).

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

42154910208 is a wasteful number, since it uses less digits than its factorization.

42154910208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 42154910208 in words is "forty-two billion, one hundred fifty-four million, nine hundred ten thousand, two hundred eight".