541031040000 has 660 divisors, whose sum is σ = 2129861413680. Its totient is φ = 131143680000.

The previous prime is 541031039999. The next prime is 541031040001. The reversal of 541031040000 is 40130145.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (541031039999) and next prime (541031040001).

It is a tau number, because it is divible by the number of its divisors (660).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (541031040001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 63355731 + ... + 63364269.

It is an arithmetic number, because the mean of its divisors is an integer number (3227062748).

Almost surely, 2^541031040000 is an apocalyptic number.

541031040000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541031040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064930706840).

541031040000 is an abundant number, since it is smaller than the sum of its proper divisors (1588830373680).

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

541031040000 is a wasteful number, since it uses less digits than its factorization.

541031040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8596 (or 8560 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 541031040000 its reverse (40130145), we get a palindrome (541071170145).

The spelling of 541031040000 in words is "five hundred forty-one billion, thirty-one million, forty thousand".