42026447931552 has 1200 divisors, whose sum is σ = 148920111453960. Its totient is φ = 11617415663616.

The previous prime is 42026447931551. The next prime is 42026447931581. The reversal of 42026447931552 is 25513974462024.

42026447931552 is a `hidden beast` number, since 4 + 20 + 2 + 64 + 4 + 7 + 9 + 3 + 1 + 552 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 41705815664016 + 320632267536 = 6458004^2 + 566244^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42026447931551) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 52730800018 + ... + 52730800814.

Almost surely, 2^{42026447931552} is an apocalyptic number.

42026447931552 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 42026447931552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74460055726980).

42026447931552 is an abundant number, since it is smaller than the sum of its proper divisors (106893663522408).

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

42026447931552 is an equidigital number, since it uses as much as digits as its factorization.

42026447931552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 42026447931552 in words is "forty-two trillion, twenty-six billion, four hundred forty-seven million, nine hundred thirty-one thousand, five hundred fifty-two".