42238185151344 has 640 divisors, whose sum is σ = 138754079170560. Its totient is φ = 10776233115648.

The previous prime is 42238185151339. The next prime is 42238185151369. The reversal of 42238185151344 is 44315158183224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19989674832 + ... + 19989676944.

It is an arithmetic number, because the mean of its divisors is an integer number (216803248704).

Almost surely, 2^{42238185151344} 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 42238185151344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69377039585280).

42238185151344 is an abundant number, since it is smaller than the sum of its proper divisors (96515894019216).

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

42238185151344 is a wasteful number, since it uses less digits than its factorization.

42238185151344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3363 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 51.

The spelling of 42238185151344 in words is "forty-two trillion, two hundred thirty-eight billion, one hundred eighty-five million, one hundred fifty-one thousand, three hundred forty-four".