42019560000 has 980 divisors, whose sum is σ = 171723643344. Its totient is φ = 10108800000.

The previous prime is 42019559983. The next prime is 42019560031. The reversal of 42019560000 is 6591024.

42019560000 is a `hidden beast` number, since 42 + 0 + 19 + 5 + 600 + 0 + 0 = 666.

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 139 ways as a sum of consecutive naturals, for example, 320759935 + ... + 320760065.

Almost surely, 2^42019560000 is an apocalyptic number.

42019560000 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 42019560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85861821672).

42019560000 is an abundant number, since it is smaller than the sum of its proper divisors (129704083344).

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

42019560000 is an equidigital number, since it uses as much as digits as its factorization.

42019560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 42019560000 in words is "forty-two billion, nineteen million, five hundred sixty thousand".