42344651600 has 120 divisors (see below), whose sum is σ = 106328845560. Its totient is φ = 16184770560.

The previous prime is 42344651483. The next prime is 42344651639. The reversal of 42344651600 is 615644324.

42344651600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 16694707264 + 25649944336 = 129208^2 + 160156^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106384 + ... + 1144016.

It is an arithmetic number, because the mean of its divisors is an integer number (886073713).

Almost surely, 2^42344651600 is an apocalyptic number.

42344651600 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 42344651600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53164422780).

42344651600 is an abundant number, since it is smaller than the sum of its proper divisors (63984193960).

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

42344651600 is a wasteful number, since it uses less digits than its factorization.

42344651600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37777 (or 37766 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The spelling of 42344651600 in words is "forty-two billion, three hundred forty-four million, six hundred fifty-one thousand, six hundred".