4920435970560 has 2560 divisors, whose sum is σ = 21382631424000. Its totient is φ = 1058365440000.

The previous prime is 4920435970477. The next prime is 4920435970591. The reversal of 4920435970560 is 650795340294.

4920435970560 is a `hidden beast` number, since 4 + 9 + 2 + 0 + 4 + 3 + 5 + 9 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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 = 4920435970497 and 4920435970506.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19603330435 + ... + 19603330685.

It is an arithmetic number, because the mean of its divisors is an integer number (8352590400).

Almost surely, 2^{4920435970560} is an apocalyptic number.

4920435970560 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 4920435970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10691315712000).

4920435970560 is an abundant number, since it is smaller than the sum of its proper divisors (16462195453440).

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

4920435970560 is a wasteful number, since it uses less digits than its factorization.

4920435970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 4920435970560 in words is "four trillion, nine hundred twenty billion, four hundred thirty-five million, nine hundred seventy thousand, five hundred sixty".