190442016000 has 864 divisors, whose sum is σ = 748628899200. Its totient is φ = 48074342400.

The previous prime is 190442015971. The next prime is 190442016007. The reversal of 190442016000 is 610244091.

190442016000 is a `hidden beast` number, since 19 + 0 + 4 + 42 + 0 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×190442016000² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190442016007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147743356 + ... + 147744644.

Almost surely, 2^190442016000 is an apocalyptic number.

190442016000 is a gapful number since it is divisible by the number (10) 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 190442016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374314449600).

190442016000 is an abundant number, since it is smaller than the sum of its proper divisors (558186883200).

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

190442016000 is an equidigital number, since it uses as much as digits as its factorization.

190442016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 190442016000 in words is "one hundred ninety billion, four hundred forty-two million, sixteen thousand".