520078141440 has 2304 divisors, whose sum is σ = 2335321497600. Its totient is φ = 105106636800.

The previous prime is 520078141379. The next prime is 520078141441. The reversal of 520078141440 is 44141870025.

It is a happy number.

520078141440 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 78 + 141 + 440 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 520078141395 and 520078141404.

It is not an unprimeable number, because it can be changed into a prime (520078141441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7762360287 + ... + 7762360353.

It is an arithmetic number, because the mean of its divisors is an integer number (1013594400).

Almost surely, 2^520078141440 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 520078141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167660748800).

520078141440 is an abundant number, since it is smaller than the sum of its proper divisors (1815243356160).

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

520078141440 is a wasteful number, since it uses less digits than its factorization.

520078141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 520078141440 in words is "five hundred twenty billion, seventy-eight million, one hundred forty-one thousand, four hundred forty".