541467354960 has 1920 divisors, whose sum is σ = 2445923450880. Its totient is φ = 108355387392.

The previous prime is 541467354949. The next prime is 541467354991. The reversal of 541467354960 is 69453764145.

It is a happy number.

541467354960 is a `hidden beast` number, since 5 + 4 + 146 + 7 + 3 + 5 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 541467354897 and 541467354906.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 4263522417 + ... + 4263522543.

It is an arithmetic number, because the mean of its divisors is an integer number (1273918464).

Almost surely, 2^541467354960 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 541467354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222961725440).

541467354960 is an abundant number, since it is smaller than the sum of its proper divisors (1904456095920).

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

541467354960 is a wasteful number, since it uses less digits than its factorization.

541467354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 541467354960 in words is "five hundred forty-one billion, four hundred sixty-seven million, three hundred fifty-four thousand, nine hundred sixty".