49006918339200 has 480 divisors, whose sum is σ = 185257231333020. Its totient is φ = 12749764608000.

The previous prime is 49006918339177. The next prime is 49006918339207. The reversal of 49006918339200 is 293381960094.

49006918339200 is a `hidden beast` number, since 4 + 90 + 0 + 6 + 9 + 18 + 339 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11461691502144 + 37545226837056 = 3385512^2 + 6127416^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49006918339207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8321470 + ... + 12932930.

Almost surely, 2^{49006918339200} is an apocalyptic number.

49006918339200 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 49006918339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92628615666510).

49006918339200 is an abundant number, since it is smaller than the sum of its proper divisors (136250312993820).

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

49006918339200 is a wasteful number, since it uses less digits than its factorization.

49006918339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4611538 (or 4611512 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 49006918339200 in words is "forty-nine trillion, six billion, nine hundred eighteen million, three hundred thirty-nine thousand, two hundred".