42062338800 has 240 divisors, whose sum is σ = 151196974560. Its totient is φ = 11105280000.

The previous prime is 42062338783. The next prime is 42062338811. The reversal of 42062338800 is 883326024.

42062338800 is a `hidden beast` number, since 4 + 20 + 623 + 3 + 8 + 8 + 0 + 0 = 666.

42062338800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1071520 + ... + 1110080.

It is an arithmetic number, because the mean of its divisors is an integer number (629987394).

Almost surely, 2^42062338800 is an apocalyptic number.

42062338800 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 42062338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75598487280).

42062338800 is an abundant number, since it is smaller than the sum of its proper divisors (109134635760).

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

42062338800 is a wasteful number, since it uses less digits than its factorization.

42062338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38689 (or 38672 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42062338800 in words is "forty-two billion, sixty-two million, three hundred thirty-eight thousand, eight hundred".