2010405450042 has 24 divisors (see below), whose sum is σ = 4751867427840. Its totient is φ = 609213772680.

The previous prime is 2010405449951. The next prime is 2010405450047. The reversal of 2010405450042 is 2400545040102.

2010405450042 is a `hidden beast` number, since 2 + 0 + 104 + 0 + 54 + 500 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2010405449988 and 2010405450015.

It is not an unprimeable number, because it can be changed into a prime (2010405450047) 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 11 ways as a sum of consecutive naturals, for example, 5076781242 + ... + 5076781637.

It is an arithmetic number, because the mean of its divisors is an integer number (197994476160).

Almost surely, 2^{2010405450042} is an apocalyptic number.

2010405450042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2010405450042 is an abundant number, since it is smaller than the sum of its proper divisors (2741461977798).

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

2010405450042 is a wasteful number, since it uses less digits than its factorization.

2010405450042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10153562898 (or 10153562895 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The spelling of 2010405450042 in words is "two trillion, ten billion, four hundred five million, four hundred fifty thousand, forty-two".