4934071920960 has 2352 divisors, whose sum is σ = 22971910124160. Its totient is φ = 985195560960.

The previous prime is 4934071920917. The next prime is 4934071920989. The reversal of 4934071920960 is 690291704394.

4934071920960 is a `hidden beast` number, since 4 + 93 + 407 + 1 + 92 + 0 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4934071920897 and 4934071920906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 5243434090 + ... + 5243435030.

Almost surely, 2^{4934071920960} is an apocalyptic number.

4934071920960 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 4934071920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11485955062080).

4934071920960 is an abundant number, since it is smaller than the sum of its proper divisors (18037838203200).

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

4934071920960 is a wasteful number, since it uses less digits than its factorization.

4934071920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 4934071920960 in words is "four trillion, nine hundred thirty-four billion, seventy-one million, nine hundred twenty thousand, nine hundred sixty".