541353040110000 has 300 divisors, whose sum is σ = 1919123906524968. Its totient is φ = 142383263616000.

The previous prime is 541353040109911. The next prime is 541353040110079. The reversal of 541353040110000 is 11040353145.

It is a happy number.

541353040110000 is a `hidden beast` number, since 5 + 4 + 13 + 530 + 4 + 0 + 110 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×541353040110000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 34628862 + ... + 47768861.

Almost surely, 2^{541353040110000} is an apocalyptic number.

541353040110000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

541353040110000 is an abundant number, since it is smaller than the sum of its proper divisors (1377770866414968).

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

541353040110000 is a wasteful number, since it uses less digits than its factorization.

541353040110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82397830 (or 82397806 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 541353040110000 its reverse (11040353145), we get a palindrome (541364080463145).

The spelling of 541353040110000 in words is "five hundred forty-one trillion, three hundred fifty-three billion, forty million, one hundred ten thousand".