4780540477440 has 3240 divisors, whose sum is σ = 22394249645040. Its totient is φ = 973860765696.

The previous prime is 4780540477429. The next prime is 4780540477441. The reversal of 4780540477440 is 447740450874.

4780540477440 is a `hidden beast` number, since 4 + 7 + 80 + 54 + 0 + 4 + 77 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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 (4780540477441) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 164846223346 + ... + 164846223374.

It is an arithmetic number, because the mean of its divisors is an integer number (6911805446).

Almost surely, 2^{4780540477440} is an apocalyptic number.

4780540477440 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 4780540477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11197124822520).

4780540477440 is an abundant number, since it is smaller than the sum of its proper divisors (17613709167600).

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

4780540477440 is an equidigital number, since it uses as much as digits as its factorization.

4780540477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 14049280, while the sum is 54.

The spelling of 4780540477440 in words is "four trillion, seven hundred eighty billion, five hundred forty million, four hundred seventy-seven thousand, four hundred forty".