42361920000 has 400 divisors, whose sum is σ = 156724582080. Its totient is φ = 11294208000.

The previous prime is 42361919993. The next prime is 42361920023. The reversal of 42361920000 is 2916324.

42361920000 is a `hidden beast` number, since 4 + 23 + 619 + 20 + 0 + 0 + 0 = 666.

42361920000 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 (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8637549 + ... + 8642451.

Almost surely, 2^42361920000 is an apocalyptic number.

42361920000 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 42361920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78362291040).

42361920000 is an abundant number, since it is smaller than the sum of its proper divisors (114362662080).

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

42361920000 is an frugal number, since it uses more digits than its factorization.

42361920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

It can be divided in two parts, 42361 and 920000, that added together give a square (962361 = 981²).

The spelling of 42361920000 in words is "forty-two billion, three hundred sixty-one million, nine hundred twenty thousand".