30949194240000 has 1755 divisors, whose sum is σ = 119865066064029. Its totient is φ = 7690567680000.

The previous prime is 30949194239989. The next prime is 30949194240001. The reversal of 30949194240000 is 4249194903.

The square root of 30949194240000 is 5563200.

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

30949194240000 is a `hidden beast` number, since 30 + 9 + 491 + 94 + 2 + 40 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 30625333088256 + 323861151744 = 5534016^2 + 569088^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (30949194240001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 507363839970 + ... + 507363840030.

Almost surely, 2^{30949194240000} is an apocalyptic number.

30949194240000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30949194240000 is the 5563200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30949194240000

30949194240000 is an abundant number, since it is smaller than the sum of its proper divisors (88915871824029).

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

30949194240000 is an frugal number, since it uses more digits than its factorization.

30949194240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 30949194240000 in words is "thirty trillion, nine hundred forty-nine billion, one hundred ninety-four million, two hundred forty thousand".