610042020240016 has 160 divisors (see below), whose sum is σ = 1553265584640000. Its totient is φ = 225474035415552.

The previous prime is 610042020239999. The next prime is 610042020240073.

610042020240016 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210382516 + ... + 213262483.

It is an arithmetic number, because the mean of its divisors is an integer number (9707909904000).

Almost surely, 2^{610042020240016} is an apocalyptic number.

It is an amenable number.

610042020240016 is an abundant number, since it is smaller than the sum of its proper divisors (943223564399984).

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

610042020240016 is a wasteful number, since it uses less digits than its factorization.

610042020240016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423645093 (or 423645087 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 610042020240016 in words is "six hundred ten trillion, forty-two billion, twenty million, two hundred forty thousand, sixteen".