4780407321144 has 192 divisors, whose sum is σ = 15956153740800. Its totient is φ = 1259068624128.

The previous prime is 4780407321139. The next prime is 4780407321199. The reversal of 4780407321144 is 4411237040874.

4780407321144 is a `hidden beast` number, since 4 + 7 + 80 + 407 + 3 + 21 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4780407321144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4377147 + ... + 5359125.

It is an arithmetic number, because the mean of its divisors is an integer number (83104967400).

Almost surely, 2^{4780407321144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4780407321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7978076870400).

4780407321144 is an abundant number, since it is smaller than the sum of its proper divisors (11175746419656).

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

4780407321144 is a wasteful number, since it uses less digits than its factorization.

4780407321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982754 (or 982747 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 4780407321144 in words is "four trillion, seven hundred eighty billion, four hundred seven million, three hundred twenty-one thousand, one hundred forty-four".