42404052314520 has 768 divisors, whose sum is σ = 162479745792000. Its totient is φ = 9499451240448.

The previous prime is 42404052314497. The next prime is 42404052314537. The reversal of 42404052314520 is 2541325040424.

42404052314520 is a `hidden beast` number, since 4 + 2 + 40 + 40 + 52 + 3 + 1 + 4 + 520 = 666.

42404052314520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 259831587 + ... + 259994733.

It is an arithmetic number, because the mean of its divisors is an integer number (211562169000).

Almost surely, 2^{42404052314520} is an apocalyptic number.

42404052314520 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 42404052314520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81239872896000).

42404052314520 is an abundant number, since it is smaller than the sum of its proper divisors (120075693477480).

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

42404052314520 is a wasteful number, since it uses less digits than its factorization.

42404052314520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163312 (or 163305 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 42404052314520 its reverse (2541325040424), we get a palindrome (44945377354944).

The spelling of 42404052314520 in words is "forty-two trillion, four hundred four billion, fifty-two million, three hundred fourteen thousand, five hundred twenty".