42718620000 has 960 divisors, whose sum is σ = 175940481024. Its totient is φ = 8847360000.

The previous prime is 42718619963. The next prime is 42718620029. The reversal of 42718620000 is 2681724.

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 42718620000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 221339904 + ... + 221340096.

Almost surely, 2^42718620000 is an apocalyptic number.

42718620000 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 42718620000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87970240512).

42718620000 is an abundant number, since it is smaller than the sum of its proper divisors (133221861024).

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

42718620000 is a wasteful number, since it uses less digits than its factorization.

42718620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 42718620000 in words is "forty-two billion, seven hundred eighteen million, six hundred twenty thousand".