42524151210072 has 640 divisors, whose sum is σ = 150452120269440. Its totient is φ = 10943571640320.

The previous prime is 42524151210067. The next prime is 42524151210127. The reversal of 42524151210072 is 27001215142524.

42524151210072 is a `hidden beast` number, since 4 + 2 + 52 + 415 + 121 + 0 + 0 + 72 = 666.

42524151210072 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 2×42524151210072² (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 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 159 ways as a sum of consecutive naturals, for example, 173919618 + ... + 174163950.

It is an arithmetic number, because the mean of its divisors is an integer number (235081437921).

Almost surely, 2^{42524151210072} is an apocalyptic number.

42524151210072 is a gapful number since it is divisible by the number (42) 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 42524151210072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75226060134720).

42524151210072 is an abundant number, since it is smaller than the sum of its proper divisors (107927969059368).

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

42524151210072 is a wasteful number, since it uses less digits than its factorization.

42524151210072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244473 (or 244460 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

Adding to 42524151210072 its reverse (27001215142524), we get a palindrome (69525366352596).

The spelling of 42524151210072 in words is "forty-two trillion, five hundred twenty-four billion, one hundred fifty-one million, two hundred ten thousand, seventy-two".