42740121600 has 1152 divisors, whose sum is σ = 182550101760. Its totient is φ = 9437184000.

The previous prime is 42740121527. The next prime is 42740121607. The reversal of 42740121600 is 612104724.

42740121600 is a `hidden beast` number, since 4 + 2 + 7 + 40 + 12 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (42740121607) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1378713585 + ... + 1378713615.

It is an arithmetic number, because the mean of its divisors is an integer number (158463630).

Almost surely, 2^42740121600 is an apocalyptic number.

42740121600 is a gapful number since it is divisible by the number (40) 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 42740121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91275050880).

42740121600 is an abundant number, since it is smaller than the sum of its proper divisors (139809980160).

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

42740121600 is a wasteful number, since it uses less digits than its factorization.

42740121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 42740121600 in words is "forty-two billion, seven hundred forty million, one hundred twenty-one thousand, six hundred".