42141240000240 has 160 divisors (see below), whose sum is σ = 131094420420096. Its totient is φ = 11198394915840.

The previous prime is 42141240000239. The next prime is 42141240000257. The reversal of 42141240000240 is 4200004214124.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42141240000240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675783347 + ... + 1675808493.

Almost surely, 2^{42141240000240} is an apocalyptic number.

42141240000240 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 42141240000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65547210210048).

42141240000240 is an abundant number, since it is smaller than the sum of its proper divisors (88953180419856).

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

42141240000240 is a wasteful number, since it uses less digits than its factorization.

42141240000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49287 (or 49281 counting only the distinct ones).

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

Adding to 42141240000240 its reverse (4200004214124), we get a palindrome (46341244214364).

The spelling of 42141240000240 in words is "forty-two trillion, one hundred forty-one billion, two hundred forty million, two hundred forty", and thus it is an aban number.