42010323214304 has 192 divisors, whose sum is σ = 87685459727040. Its totient is φ = 19783858913280.

The previous prime is 42010323214303. The next prime is 42010323214331. The reversal of 42010323214304 is 40341232301024.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42010323214303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3758634764 + ... + 3758645940.

It is an arithmetic number, because the mean of its divisors is an integer number (456695102745).

Almost surely, 2^{42010323214304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42010323214304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43842729863520).

42010323214304 is an abundant number, since it is smaller than the sum of its proper divisors (45675136512736).

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

42010323214304 is a wasteful number, since it uses less digits than its factorization.

42010323214304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11885 counting only the distinct ones).

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

Adding to 42010323214304 its reverse (40341232301024), we get a palindrome (82351555515328).

The spelling of 42010323214304 in words is "forty-two trillion, ten billion, three hundred twenty-three million, two hundred fourteen thousand, three hundred four".