42621552933120 has 540 divisors, whose sum is σ = 177406949819484. Its totient is φ = 9742068080640.

The previous prime is 42621552933119. The next prime is 42621552933133. The reversal of 42621552933120 is 2133925512624.

It is a happy number.

42621552933120 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 1 + 552 + 93 + 3 + 1 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8287765807104 + 34333787126016 = 2878848^2 + 5859504^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 885550 + ... + 9275090.

Almost surely, 2^{42621552933120} is an apocalyptic number.

42621552933120 is a gapful number since it is divisible by the number (40) 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 42621552933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88703474909742).

42621552933120 is an abundant number, since it is smaller than the sum of its proper divisors (134785396886364).

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

42621552933120 is an equidigital number, since it uses as much as digits as its factorization.

42621552933120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8389588 (or 8389558 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 42621552933120 in words is "forty-two trillion, six hundred twenty-one billion, five hundred fifty-two million, nine hundred thirty-three thousand, one hundred twenty".