4778905098240 has 2304 divisors, whose sum is σ = 22157815680000. Its totient is φ = 953986056192.

The previous prime is 4778905098193. The next prime is 4778905098263. The reversal of 4778905098240 is 428905098774.

4778905098240 is a `hidden beast` number, since 4 + 7 + 7 + 8 + 9 + 0 + 509 + 82 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6214440576 + ... + 6214441344.

It is an arithmetic number, because the mean of its divisors is an integer number (9617107500).

Almost surely, 2^{4778905098240} is an apocalyptic number.

4778905098240 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 4778905098240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11078907840000).

4778905098240 is an abundant number, since it is smaller than the sum of its proper divisors (17378910581760).

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

4778905098240 is a wasteful number, since it uses less digits than its factorization.

4778905098240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

It can be divided in two parts, 477890 and 5098240, that added together give a triangular number (5576130 = T₃₃₃₉).

The spelling of 4778905098240 in words is "four trillion, seven hundred seventy-eight billion, nine hundred five million, ninety-eight thousand, two hundred forty".