42606432387072 has 224 divisors, whose sum is σ = 127758974277510. Its totient is φ = 14202136166400.

The previous prime is 42606432387061. The next prime is 42606432387083. The reversal of 42606432387072 is 27078323460624.

42606432387072 is a `hidden beast` number, since 4 + 2 + 60 + 6 + 432 + 3 + 87 + 0 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (42606432387061) and next prime (42606432387083).

It can be written as a sum of positive squares in only one way, i.e., 26838036135936 + 15768396251136 = 5180544^2 + 3970944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 22996072 + ... + 24779672.

Almost surely, 2^{42606432387072} 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 42606432387072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63879487138755).

42606432387072 is an abundant number, since it is smaller than the sum of its proper divisors (85152541890438).

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

42606432387072 is an frugal number, since it uses more digits than its factorization.

42606432387072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783649 (or 1783606 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 54.

The spelling of 42606432387072 in words is "forty-two trillion, six hundred six billion, four hundred thirty-two million, three hundred eighty-seven thousand, seventy-two".