4780516890240 has 1280 divisors, whose sum is σ = 21144109029120. Its totient is φ = 1002287333376.

The previous prime is 4780516890211. The next prime is 4780516890241. The reversal of 4780516890240 is 420986150874.

It is a happy number.

4780516890240 is a `hidden beast` number, since 4 + 7 + 8 + 0 + 516 + 89 + 0 + 2 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4780516890241) 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, 768939612 + ... + 768945828.

It is an arithmetic number, because the mean of its divisors is an integer number (16518835179).

Almost surely, 2^{4780516890240} is an apocalyptic number.

4780516890240 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 4780516890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10572054514560).

4780516890240 is an abundant number, since it is smaller than the sum of its proper divisors (16363592138880).

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

4780516890240 is a wasteful number, since it uses less digits than its factorization.

4780516890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6431 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 4780516890240 in words is "four trillion, seven hundred eighty billion, five hundred sixteen million, eight hundred ninety thousand, two hundred forty".