4914778705920 has 1040 divisors, whose sum is σ = 18967057713648. Its totient is φ = 1212866887680.

The previous prime is 4914778705919. The next prime is 4914778705927. The reversal of 4914778705920 is 295078774194.

4914778705920 is a `hidden beast` number, since 4 + 9 + 1 + 477 + 8 + 70 + 5 + 92 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 91097726976 + 4823680978944 = 301824^2 + 2196288^2 .

It is not an unprimeable number, because it can be changed into a prime (4914778705927) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1720257132 + ... + 1720259988.

Almost surely, 2^{4914778705920} is an apocalyptic number.

4914778705920 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 4914778705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483528856824).

4914778705920 is an abundant number, since it is smaller than the sum of its proper divisors (14052279007728).

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

4914778705920 is a wasteful number, since it uses less digits than its factorization.

4914778705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2945 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 4914778705920 in words is "four trillion, nine hundred fourteen billion, seven hundred seventy-eight million, seven hundred five thousand, nine hundred twenty".