541214640 has 120 divisors (see below), whose sum is σ = 1824177888. Its totient is φ = 143800320.

The previous prime is 541214629. The next prime is 541214671. The reversal of 541214640 is 46412145.

541214640 is a `hidden beast` number, since 5 + 4 + 1 + 2 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222712 + ... + 225128.

Almost surely, 2^541214640 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 541214640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912088944).

541214640 is an abundant number, since it is smaller than the sum of its proper divisors (1282963248).

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

541214640 is a wasteful number, since it uses less digits than its factorization.

541214640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2747 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 541214640 is about 23264.0202888495. The cubic root of 541214640 is about 814.9353907657.

Adding to 541214640 its reverse (46412145), we get a palindrome (587626785).

The spelling of 541214640 in words is "five hundred forty-one million, two hundred fourteen thousand, six hundred forty".