16240094010000 has 2025 divisors, whose sum is σ = 70423825250493. Its totient is φ = 3481833600000.

The previous prime is 16240094009963. The next prime is 16240094010089. The reversal of 16240094010000 is 1049004261.

The square root of 16240094010000 is 4029900.

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

16240094010000 is a `hidden beast` number, since 16 + 240 + 0 + 9 + 401 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 3504788363664 + 12735305646336 = 1872108^2 + 3568656^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 160793009950 + ... + 160793010050.

Almost surely, 2^{16240094010000} is an apocalyptic number.

16240094010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16240094010000 is the 4029900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16240094010000

16240094010000 is an abundant number, since it is smaller than the sum of its proper divisors (54183731240493).

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

16240094010000 is a wasteful number, since it uses less digits than its factorization.

16240094010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 16240094010000 in words is "sixteen trillion, two hundred forty billion, ninety-four million, ten thousand".