4935074096160 has 384 divisors, whose sum is σ = 18681317141760. Its totient is φ = 1209570582528.

The previous prime is 4935074096137. The next prime is 4935074096167. The reversal of 4935074096160 is 616904705394.

4935074096160 is a `hidden beast` number, since 4 + 9 + 3 + 507 + 40 + 96 + 1 + 6 + 0 = 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 = 4935074096097 and 4935074096106.

It is not an unprimeable number, because it can be changed into a prime (4935074096167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12896707 + ... + 13273853.

It is an arithmetic number, because the mean of its divisors is an integer number (48649263390).

Almost surely, 2^{4935074096160} is an apocalyptic number.

4935074096160 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 4935074096160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9340658570880).

4935074096160 is an abundant number, since it is smaller than the sum of its proper divisors (13746243045600).

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

4935074096160 is a wasteful number, since it uses less digits than its factorization.

4935074096160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377417 (or 377403 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 4935074096160 in words is "four trillion, nine hundred thirty-five billion, seventy-four million, ninety-six thousand, one hundred sixty".