42120032240000 has 720 divisors, whose sum is σ = 124806569316660. Its totient is φ = 14137643520000.

The previous prime is 42120032239979. The next prime is 42120032240017. The reversal of 42120032240000 is 4223002124.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1635907127 + ... + 1635932873.

Almost surely, 2^{42120032240000} is an apocalyptic number.

42120032240000 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 42120032240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62403284658330).

42120032240000 is an abundant number, since it is smaller than the sum of its proper divisors (82686537076660).

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

42120032240000 is a wasteful number, since it uses less digits than its factorization.

42120032240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25829 (or 25778 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 42120032240000 its reverse (4223002124), we get a palindrome (42124255242124).

The spelling of 42120032240000 in words is "forty-two trillion, one hundred twenty billion, thirty-two million, two hundred forty thousand".