541041480 has 192 divisors, whose sum is σ = 2056728960. Its totient is φ = 120766464.

The previous prime is 541041467. The next prime is 541041493. The reversal of 541041480 is 84140145.

It is a happy number.

541041480 is a `hidden beast` number, since 541 + 0 + 41 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (541041467) and next prime (541041493).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105864 + ... + 110856.

It is an arithmetic number, because the mean of its divisors is an integer number (10712130).

Almost surely, 2^541041480 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 541041480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028364480).

541041480 is an abundant number, since it is smaller than the sum of its proper divisors (1515687480).

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

541041480 is a wasteful number, since it uses less digits than its factorization.

541041480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5060 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 541041480 is about 23260.2983643805. The cubic root of 541041480 is about 814.8484694507.

The spelling of 541041480 in words is "five hundred forty-one million, forty-one thousand, four hundred eighty".