4701261985350 has 144 divisors (see below), whose sum is σ = 13596491728656. Its totient is φ = 1071893760000.

The previous prime is 4701261985267. The next prime is 4701261985351. The reversal of 4701261985350 is 535891621074.

It is a super-2 number, since 2×4701261985350² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4701261985293 and 4701261985302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4701261985351) 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 71 ways as a sum of consecutive naturals, for example, 2149810 + ... + 3744890.

It is an arithmetic number, because the mean of its divisors is an integer number (94420081449).

It is a 1-persistent number, because it is pandigital, but 2⋅4701261985350 = 9402523970700 is not.

Almost surely, 2^{4701261985350} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4701261985350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6798245864328).

4701261985350 is an abundant number, since it is smaller than the sum of its proper divisors (8895229743306).

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

4701261985350 is a wasteful number, since it uses less digits than its factorization.

4701261985350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595511 (or 1595499 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 4701261985350 in words is "four trillion, seven hundred one billion, two hundred sixty-one million, nine hundred eighty-five thousand, three hundred fifty".