541911744 has 252 divisors, whose sum is σ = 1770598440. Its totient is φ = 157132800.

The previous prime is 541911691. The next prime is 541911779. The reversal of 541911744 is 447119145.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (20160) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 541911699 and 541911708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6088852 + ... + 6088940.

Almost surely, 2^541911744 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 541911744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885299220).

541911744 is an abundant number, since it is smaller than the sum of its proper divisors (1228686696).

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

541911744 is a wasteful number, since it uses less digits than its factorization.

541911744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 136 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 541911744 is about 23278.9979165771. The cubic root of 541911744 is about 815.2851293870.

The spelling of 541911744 in words is "five hundred forty-one million, nine hundred eleven thousand, seven hundred forty-four".