42144192000000 has 1456 divisors, whose sum is σ = 161642196578400. Its totient is φ = 10850918400000.

The previous prime is 42144191999929. The next prime is 42144192000047. The reversal of 42144192000000 is 29144124.

It is a happy number.

The cubic root of 42144192000000 is 34800.

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

42144192000000 is a `hidden beast` number, since 42 + 1 + 4 + 419 + 200 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×42144192000000² (a number of 28 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 polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1453247999986 + ... + 1453248000014.

Almost surely, 2^{42144192000000} is an apocalyptic number.

42144192000000 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 42144192000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80821098289200).

42144192000000 is an abundant number, since it is smaller than the sum of its proper divisors (119498004578400).

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

42144192000000 is an frugal number, since it uses more digits than its factorization.

42144192000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 39 counting only the distinct ones).

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

42144192000000 divided by its sum of digits (27) gives a cube (1560896000000 = 11600³).

The spelling of 42144192000000 in words is "forty-two trillion, one hundred forty-four billion, one hundred ninety-two million", and thus it is an aban number.