541314508320 has 288 divisors, whose sum is σ = 1950741636480. Its totient is φ = 136311275520.

The previous prime is 541314508309. The next prime is 541314508331. The reversal of 541314508320 is 23805413145.

541314508320 is a `hidden beast` number, since 5 + 413 + 145 + 0 + 83 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (541314508309) and next prime (541314508331).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8477152 + ... + 8540768.

It is an arithmetic number, because the mean of its divisors is an integer number (6773408460).

Almost surely, 2^541314508320 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 541314508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975370818240).

541314508320 is an abundant number, since it is smaller than the sum of its proper divisors (1409427128160).

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

541314508320 is a wasteful number, since it uses less digits than its factorization.

541314508320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63968 (or 63957 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 541314508320 in words is "five hundred forty-one billion, three hundred fourteen million, five hundred eight thousand, three hundred twenty".