4970721790944 has 1728 divisors, whose sum is σ = 19171623905280. Its totient is φ = 1247215656960.

The previous prime is 4970721790933. The next prime is 4970721790949. The reversal of 4970721790944 is 4490971270794.

4970721790944 is a `hidden beast` number, since 497 + 0 + 7 + 2 + 17 + 90 + 9 + 44 = 666.

It is a super-2 number, since 2×4970721790944² (a number of 26 digits) contains 22 as substring.

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 (4970721790949) 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 287 ways as a sum of consecutive naturals, for example, 16191276039 + ... + 16191276345.

It is an arithmetic number, because the mean of its divisors is an integer number (11094689760).

Almost surely, 2^{4970721790944} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4970721790944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9585811952640).

4970721790944 is an abundant number, since it is smaller than the sum of its proper divisors (14200902114336).

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

4970721790944 is a wasteful number, since it uses less digits than its factorization.

4970721790944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 4970721790944 in words is "four trillion, nine hundred seventy billion, seven hundred twenty-one million, seven hundred ninety thousand, nine hundred forty-four".