42144192000 has 640 divisors, whose sum is σ = 161247715200. Its totient is φ = 10850918400.

The previous prime is 42144191987. The next prime is 42144192037. The reversal of 42144192000 is 29144124.

It is a happy number.

The cubic root of 42144192000 is 3480.

It is a perfect power (a cube), and thus also a powerful number.

42144192000 is a `hidden beast` number, since 42 + 1 + 4 + 419 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×42144192000² (a number of 22 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1453247986 + ... + 1453248014.

It is an arithmetic number, because the mean of its divisors is an integer number (251949555).

Almost surely, 2^42144192000 is an apocalyptic number.

42144192000 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 42144192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80623857600).

42144192000 is an abundant number, since it is smaller than the sum of its proper divisors (119103523200).

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

42144192000 is an frugal number, since it uses more digits than its factorization.

42144192000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 42144192000 by its sum of digits (27), we get a cube (1137893184000 = 10440³).

42144192000 divided by its sum of digits (27) gives a cube (1560896000 = 1160³).

The spelling of 42144192000 in words is "forty-two billion, one hundred forty-four million, one hundred ninety-two thousand".