42413101413444 has 288 divisors, whose sum is σ = 115279640985600. Its totient is φ = 13125752490240.

The previous prime is 42413101413439. The next prime is 42413101413517. The reversal of 42413101413444 is 44431410131424.

42413101413444 is a `hidden beast` number, since 4 + 2 + 41 + 31 + 0 + 141 + 3 + 444 = 666.

It is a super-2 number, since 2×42413101413444² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42413101413399 and 42413101413408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575938594 + ... + 576012230.

It is an arithmetic number, because the mean of its divisors is an integer number (400276531200).

Almost surely, 2^{42413101413444} 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 42413101413444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57639820492800).

42413101413444 is an abundant number, since it is smaller than the sum of its proper divisors (72866539572156).

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

42413101413444 is a wasteful number, since it uses less digits than its factorization.

42413101413444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73943 (or 73938 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 42413101413444 its reverse (44431410131424), we get a palindrome (86844511544868).

The spelling of 42413101413444 in words is "forty-two trillion, four hundred thirteen billion, one hundred one million, four hundred thirteen thousand, four hundred forty-four".