4973795850240 has 2592 divisors, whose sum is σ = 22141713288240. Its totient is φ = 1067501223936.

The previous prime is 4973795850223. The next prime is 4973795850241. The reversal of 4973795850240 is 420585973794.

4973795850240 is a `hidden beast` number, since 4 + 9 + 7 + 3 + 7 + 9 + 585 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973795850241) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44015892424 + ... + 44015892536.

Almost surely, 2^{4973795850240} is an apocalyptic number.

4973795850240 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 4973795850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070856644120).

4973795850240 is an abundant number, since it is smaller than the sum of its proper divisors (17167917438000).

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

4973795850240 is a wasteful number, since it uses less digits than its factorization.

4973795850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 4973795850240 in words is "four trillion, nine hundred seventy-three billion, seven hundred ninety-five million, eight hundred fifty thousand, two hundred forty".