42410031651552 has 192 divisors, whose sum is σ = 112940397964800. Its totient is φ = 13932797091840.

The previous prime is 42410031651541. The next prime is 42410031651577. The reversal of 42410031651552 is 25515613001424.

42410031651552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42410031651552² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42410031651552.

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 31 ways as a sum of consecutive naturals, for example, 5350069413 + ... + 5350077339.

It is an arithmetic number, because the mean of its divisors is an integer number (588231239400).

Almost surely, 2^{42410031651552} 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 42410031651552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56470198982400).

42410031651552 is an abundant number, since it is smaller than the sum of its proper divisors (70530366313248).

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

42410031651552 is a wasteful number, since it uses less digits than its factorization.

42410031651552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9961 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

Adding to 42410031651552 its reverse (25515613001424), we get a palindrome (67925644652976).

The spelling of 42410031651552 in words is "forty-two trillion, four hundred ten billion, thirty-one million, six hundred fifty-one thousand, five hundred fifty-two".