42142014240000 has 360 divisors, whose sum is σ = 140373152237472. Its totient is φ = 11220311040000.

The previous prime is 42142014239981. The next prime is 42142014240017. The reversal of 42142014240000 is 4241024124.

42142014240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 308571730 + ... + 308708270.

Almost surely, 2^{42142014240000} is an apocalyptic number.

42142014240000 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 42142014240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70186576118736).

42142014240000 is an abundant number, since it is smaller than the sum of its proper divisors (98231137997472).

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

42142014240000 is an equidigital number, since it uses as much as digits as its factorization.

42142014240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137223 (or 137194 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 42142014240000 its reverse (4241024124), we get a palindrome (42146255264124).

The spelling of 42142014240000 in words is "forty-two trillion, one hundred forty-two billion, fourteen million, two hundred forty thousand".