42621432510000 has 300 divisors, whose sum is σ = 145210289326872. Its totient is φ = 10767517056000.

The previous prime is 42621432509989. The next prime is 42621432510037. The reversal of 42621432510000 is 1523412624.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 42621432510000.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8862252 + ... + 12797748.

Almost surely, 2^{42621432510000} is an apocalyptic number.

42621432510000 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 42621432510000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72605144663436).

42621432510000 is an abundant number, since it is smaller than the sum of its proper divisors (102588856816872).

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

42621432510000 is a wasteful number, since it uses less digits than its factorization.

42621432510000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935566 (or 3935526 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42621432510000 its reverse (1523412624), we get a palindrome (42622955922624).

The spelling of 42621432510000 in words is "forty-two trillion, six hundred twenty-one billion, four hundred thirty-two million, five hundred ten thousand".