42413638944144 has 960 divisors, whose sum is σ = 128967531264000. Its totient is φ = 11977617899520.

The previous prime is 42413638944139. The next prime is 42413638944161. The reversal of 42413638944144 is 44144983631424.

It is a happy number.

It is a super-3 number, since 3×42413638944144³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 182032785052 + ... + 182032785284.

It is an arithmetic number, because the mean of its divisors is an integer number (134341178400).

Almost surely, 2^{42413638944144} 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 42413638944144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64483765632000).

42413638944144 is an abundant number, since it is smaller than the sum of its proper divisors (86553892319856).

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

42413638944144 is a wasteful number, since it uses less digits than its factorization.

42413638944144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 649 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 57.

The spelling of 42413638944144 in words is "forty-two trillion, four hundred thirteen billion, six hundred thirty-eight million, nine hundred forty-four thousand, one hundred forty-four".