541144010543640 has 256 divisors, whose sum is σ = 1890610761600000. Its totient is φ = 121340026988544.

The previous prime is 541144010543597. The next prime is 541144010543641. The reversal of 541144010543640 is 46345010441145.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 541144010543592 and 541144010543601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541144010543641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 333045034 + ... + 334665926.

It is an arithmetic number, because the mean of its divisors is an integer number (7385198287500).

Almost surely, 2^{541144010543640} 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 541144010543640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945305380800000).

541144010543640 is an abundant number, since it is smaller than the sum of its proper divisors (1349466751056360).

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

541144010543640 is a wasteful number, since it uses less digits than its factorization.

541144010543640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628466 (or 1628462 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 541144010543640 its reverse (46345010441145), we get a palindrome (587489020984785).

The spelling of 541144010543640 in words is "five hundred forty-one trillion, one hundred forty-four billion, ten million, five hundred forty-three thousand, six hundred forty".