4961788818480 has 800 divisors, whose sum is σ = 19560843234240. Its totient is φ = 1155575808000.

The previous prime is 4961788818473. The next prime is 4961788818487. The reversal of 4961788818480 is 848188871694.

4961788818480 is a `hidden beast` number, since 4 + 9 + 61 + 7 + 8 + 8 + 81 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4961788818473) and next prime (4961788818487).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4961788818399 and 4961788818408.

It is not an unprimeable number, because it can be changed into a prime (4961788818487) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1653376980 + ... + 1653379980.

Almost surely, 2^{4961788818480} is an apocalyptic number.

4961788818480 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 4961788818480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9780421617120).

4961788818480 is an abundant number, since it is smaller than the sum of its proper divisors (14599054415760).

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

4961788818480 is a wasteful number, since it uses less digits than its factorization.

4961788818480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4091 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 72.

The spelling of 4961788818480 in words is "four trillion, nine hundred sixty-one billion, seven hundred eighty-eight million, eight hundred eighteen thousand, four hundred eighty".