541719440640 has 432 divisors, whose sum is σ = 2153209513728. Its totient is φ = 123176484864.

The previous prime is 541719440627. The next prime is 541719440641. The reversal of 541719440640 is 46044917145.

541719440640 is a `hidden beast` number, since 5 + 4 + 17 + 194 + 406 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541719440641) 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 47 ways as a sum of consecutive naturals, for example, 15546117 + ... + 15580923.

Almost surely, 2^541719440640 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 541719440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076604756864).

541719440640 is an abundant number, since it is smaller than the sum of its proper divisors (1611490073088).

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

541719440640 is a wasteful number, since it uses less digits than its factorization.

541719440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35034 (or 35017 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 541719440640 in words is "five hundred forty-one billion, seven hundred nineteen million, four hundred forty thousand, six hundred forty".