4778105902128 has 160 divisors (see below), whose sum is σ = 14771435609280. Its totient is φ = 1470036418560.

The previous prime is 4778105902109. The next prime is 4778105902151. The reversal of 4778105902128 is 8212095018774.

4778105902128 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 1 + 0 + 590 + 21 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63204000 + ... + 63279552.

It is an arithmetic number, because the mean of its divisors is an integer number (92321472558).

Almost surely, 2^{4778105902128} is an apocalyptic number.

4778105902128 is a gapful number since it is divisible by the number (48) 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 4778105902128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7385717804640).

4778105902128 is an abundant number, since it is smaller than the sum of its proper divisors (9993329707152).

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

4778105902128 is a wasteful number, since it uses less digits than its factorization.

4778105902128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86844 (or 86832 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 4778105902128 in words is "four trillion, seven hundred seventy-eight billion, one hundred five million, nine hundred two thousand, one hundred twenty-eight".