42766240000 has 405 divisors, whose sum is σ = 119799535471. Its totient is φ = 15220480000.

The previous prime is 42766239979. The next prime is 42766240037. The reversal of 42766240000 is 4266724.

The square root of 42766240000 is 206800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 3352873216 + 39413366784 = 57904^2 + 198528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 909919977 + ... + 909920023.

Almost surely, 2^42766240000 is an apocalyptic number.

42766240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42766240000 is the 206800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42766240000

42766240000 is an abundant number, since it is smaller than the sum of its proper divisors (77033295471).

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

42766240000 is an frugal number, since it uses more digits than its factorization.

42766240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The spelling of 42766240000 in words is "forty-two billion, seven hundred sixty-six million, two hundred forty thousand".