541412640 has 192 divisors, whose sum is σ = 1977696000. Its totient is φ = 138074112.

The previous prime is 541412639. The next prime is 541412647. The reversal of 541412640 is 46214145.

541412640 is a `hidden beast` number, since 5 + 4 + 1 + 4 + 12 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (541412647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96636 + ... + 102084.

It is an arithmetic number, because the mean of its divisors is an integer number (10300500).

Almost surely, 2^541412640 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 541412640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988848000).

541412640 is an abundant number, since it is smaller than the sum of its proper divisors (1436283360).

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

541412640 is a wasteful number, since it uses less digits than its factorization.

541412640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5496 (or 5482 counting only the distinct ones).

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

The square root of 541412640 is about 23268.2753980608. The cubic root of 541412640 is about 815.0347583254.

Adding to 541412640 its reverse (46214145), we get a palindrome (587626785).

The spelling of 541412640 in words is "five hundred forty-one million, four hundred twelve thousand, six hundred forty".