541204672320 has 1344 divisors, whose sum is σ = 2224213992000. Its totient is φ = 119503060992.

The previous prime is 541204672313. The next prime is 541204672339. The reversal of 541204672320 is 23276402145.

541204672320 is a `hidden beast` number, since 5 + 412 + 0 + 4 + 6 + 7 + 232 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 408842590464 + 132362081856 = 639408^2 + 363816^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2011913146 + ... + 2011913414.

It is an arithmetic number, because the mean of its divisors is an integer number (1654921125).

Almost surely, 2^541204672320 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 541204672320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112106996000).

541204672320 is an abundant number, since it is smaller than the sum of its proper divisors (1683009319680).

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

541204672320 is a wasteful number, since it uses less digits than its factorization.

541204672320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 541204672320 in words is "five hundred forty-one billion, two hundred four million, six hundred seventy-two thousand, three hundred twenty".