4780435120384 has 432 divisors, whose sum is σ = 12343705698240. Its totient is φ = 1826732113920.

The previous prime is 4780435120273. The next prime is 4780435120387. The reversal of 4780435120384 is 4830215340874.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (4780435120387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1944055347 + ... + 1944057805.

It is an arithmetic number, because the mean of its divisors is an integer number (28573392820).

Almost surely, 2^{4780435120384} is an apocalyptic number.

4780435120384 is a gapful number since it is divisible by the number (44) 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 4780435120384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171852849120).

4780435120384 is an abundant number, since it is smaller than the sum of its proper divisors (7563270577856).

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

4780435120384 is a wasteful number, since it uses less digits than its factorization.

4780435120384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2766 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

The spelling of 4780435120384 in words is "four trillion, seven hundred eighty billion, four hundred thirty-five million, one hundred twenty thousand, three hundred eighty-four".