60442410600 has 1008 divisors, whose sum is σ = 250007748480. Its totient is φ = 13464921600.

The previous prime is 60442410551. The next prime is 60442410607. The reversal of 60442410600 is 601424406.

60442410600 is a `hidden beast` number, since 6 + 0 + 4 + 42 + 4 + 10 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (60442410607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 271042089 + ... + 271042311.

It is an arithmetic number, because the mean of its divisors is an integer number (248023560).

Almost surely, 2^60442410600 is an apocalyptic number.

60442410600 is a gapful number since it is divisible by the number (60) 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 60442410600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125003874240).

60442410600 is an abundant number, since it is smaller than the sum of its proper divisors (189565337880).

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

60442410600 is a wasteful number, since it uses less digits than its factorization.

60442410600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 60442410600 in words is "sixty billion, four hundred forty-two million, four hundred ten thousand, six hundred".