16242512040000 has 525 divisors, whose sum is σ = 60192491992347. Its totient is φ = 4329402048000.

The previous prime is 16242512039993. The next prime is 16242512040017. The reversal of 16242512040000 is 4021524261.

The square root of 16242512040000 is 4030200.

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

16242512040000 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 251 + 2 + 0 + 400 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1273412943936 + 14969099096064 = 1128456^2 + 3868992^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 7254358881 + ... + 7254361119.

Almost surely, 2^{16242512040000} is an apocalyptic number.

16242512040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16242512040000 is the 4030200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16242512040000

16242512040000 is an abundant number, since it is smaller than the sum of its proper divisors (43949979952347).

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

16242512040000 is an frugal number, since it uses more digits than its factorization.

16242512040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 16242512040000 its reverse (4021524261), we get a palindrome (16246533564261).

The spelling of 16242512040000 in words is "sixteen trillion, two hundred forty-two billion, five hundred twelve million, forty thousand".