541348215840 has 768 divisors, whose sum is σ = 2052826675200. Its totient is φ = 132812918784.

The previous prime is 541348215823. The next prime is 541348215841. The reversal of 541348215840 is 48512843145.

541348215840 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 48 + 21 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (541348215841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 465475099 + ... + 465476261.

It is an arithmetic number, because the mean of its divisors is an integer number (2672951400).

Almost surely, 2^541348215840 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 541348215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026413337600).

541348215840 is an abundant number, since it is smaller than the sum of its proper divisors (1511478459360).

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

541348215840 is a wasteful number, since it uses less digits than its factorization.

541348215840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 541348215840 in words is "five hundred forty-one billion, three hundred forty-eight million, two hundred fifteen thousand, eight hundred forty".