42384384000 has 1120 divisors, whose sum is σ = 183073340736. Its totient is φ = 9555148800.

The previous prime is 42384383971. The next prime is 42384384013. The reversal of 42384384000 is 48348324.

It is a tau number, because it is divible by the number of its divisors (1120).

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 79 ways as a sum of consecutive naturals, for example, 580607964 + ... + 580608036.

Almost surely, 2^42384384000 is an apocalyptic number.

42384384000 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 42384384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91536670368).

42384384000 is an abundant number, since it is smaller than the sum of its proper divisors (140688956736).

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

42384384000 is an frugal number, since it uses more digits than its factorization.

42384384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 42384384000 in words is "forty-two billion, three hundred eighty-four million, three hundred eighty-four thousand".