42550655605524 has 384 divisors, whose sum is σ = 127777421721600. Its totient is φ = 12117712844160.

The previous prime is 42550655605463. The next prime is 42550655605567.

It is a happy number.

42550655605524 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 0 + 6 + 5 + 5 + 605 + 5 + 24 = 666.

42550655605524 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42550655605524² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3364479769 + ... + 3364492415.

It is an arithmetic number, because the mean of its divisors is an integer number (332753702400).

Almost surely, 2^{42550655605524} is an apocalyptic number.

42550655605524 is a gapful number since it is divisible by the number (44) 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 42550655605524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63888710860800).

42550655605524 is an abundant number, since it is smaller than the sum of its proper divisors (85226766116076).

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

42550655605524 is a wasteful number, since it uses less digits than its factorization.

42550655605524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14840 (or 14832 counting only the distinct ones).

The product of its (nonzero) digits is 36000000, while the sum is 54.

The spelling of 42550655605524 in words is "forty-two trillion, five hundred fifty billion, six hundred fifty-five million, six hundred five thousand, five hundred twenty-four".