541050515040 has 192 divisors, whose sum is σ = 1952793722880. Its totient is φ = 123350476800.

The previous prime is 541050514997. The next prime is 541050515053. The reversal of 541050515040 is 40515050145.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 541050514989 and 541050515007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100065 + ... + 1514015.

It is an arithmetic number, because the mean of its divisors is an integer number (10170800640).

Almost surely, 2^541050515040 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 541050515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976396861440).

541050515040 is an abundant number, since it is smaller than the sum of its proper divisors (1411743207840).

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

541050515040 is a wasteful number, since it uses less digits than its factorization.

541050515040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414365 (or 414357 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 30.

Adding to 541050515040 its reverse (40515050145), we get a palindrome (581565565185).

The spelling of 541050515040 in words is "five hundred forty-one billion, fifty million, five hundred fifteen thousand, forty".