42621200212624 has 160 divisors (see below), whose sum is σ = 100063801578240. Its totient is φ = 17356962201600.

The previous prime is 42621200212579. The next prime is 42621200212681.

It is a happy number.

42621200212624 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 42621200212624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2701312 + ... + 9619744.

It is an arithmetic number, because the mean of its divisors is an integer number (625398759864).

Almost surely, 2^{42621200212624} is an apocalyptic number.

42621200212624 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 42621200212624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50031900789120).

42621200212624 is an abundant number, since it is smaller than the sum of its proper divisors (57442601365616).

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

42621200212624 is a wasteful number, since it uses less digits than its factorization.

42621200212624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6918569 (or 6918563 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 42621200 and 212624, that added together give a palindrome (42833824).

The spelling of 42621200212624 in words is "forty-two trillion, six hundred twenty-one billion, two hundred million, two hundred twelve thousand, six hundred twenty-four".