42142303132040 has 256 divisors, whose sum is σ = 98322481152000. Its totient is φ = 16250250240000.

The previous prime is 42142303132003. The next prime is 42142303132057. The reversal of 42142303132040 is 4023130324124.

It is a junction number, because it is equal to n+sod(n) for n = 42142303131994 and 42142303132012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8781473561 + ... + 8781478359.

It is an arithmetic number, because the mean of its divisors is an integer number (384072192000).

Almost surely, 2^{42142303132040} is an apocalyptic number.

42142303132040 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 42142303132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49161240576000).

42142303132040 is an abundant number, since it is smaller than the sum of its proper divisors (56180178019960).

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

42142303132040 is a wasteful number, since it uses less digits than its factorization.

42142303132040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5356 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 42142303132040 its reverse (4023130324124), we get a palindrome (46165433456164).

The spelling of 42142303132040 in words is "forty-two trillion, one hundred forty-two billion, three hundred three million, one hundred thirty-two thousand, forty".