42475588227072 has 3120 divisors, whose sum is σ = 175998858989184. Its totient is φ = 10116513792000.

The previous prime is 42475588227053. The next prime is 42475588227077. The reversal of 42475588227072 is 27072288557424.

42475588227072 is a `hidden beast` number, since 4 + 2 + 4 + 7 + 558 + 8 + 2 + 2 + 7 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42475588227077) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 281295286197 + ... + 281295286347.

Almost surely, 2^{42475588227072} is an apocalyptic number.

42475588227072 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 42475588227072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87999429494592).

42475588227072 is an abundant number, since it is smaller than the sum of its proper divisors (133523270762112).

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

42475588227072 is a wasteful number, since it uses less digits than its factorization.

42475588227072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 140492800, while the sum is 63.

The spelling of 42475588227072 in words is "forty-two trillion, four hundred seventy-five billion, five hundred eighty-eight million, two hundred twenty-seven thousand, seventy-two".