49481024947200 has 2640 divisors, whose sum is σ = 233777976013824. Its totient is φ = 10041266995200.

The previous prime is 49481024947199. The next prime is 49481024947213. The reversal of 49481024947200 is 274942018494.

49481024947200 is a `hidden beast` number, since 4 + 9 + 4 + 81 + 0 + 2 + 494 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6865685997 + ... + 6865693203.

Almost surely, 2^{49481024947200} is an apocalyptic number.

49481024947200 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 49481024947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116888988006912).

49481024947200 is an abundant number, since it is smaller than the sum of its proper divisors (184296951066624).

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

49481024947200 is a wasteful number, since it uses less digits than its factorization.

49481024947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7310 (or 7278 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 49481024947200 in words is "forty-nine trillion, four hundred eighty-one billion, twenty-four million, nine hundred forty-seven thousand, two hundred".