541812480000 has 960 divisors, whose sum is σ = 2004270428160. Its totient is φ = 129024000000.

The previous prime is 541812479987. The next prime is 541812480037. The reversal of 541812480000 is 84218145.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4266239937 + ... + 4266240063.

It is an arithmetic number, because the mean of its divisors is an integer number (2087781696).

Almost surely, 2^541812480000 is an apocalyptic number.

541812480000 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 541812480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002135214080).

541812480000 is an abundant number, since it is smaller than the sum of its proper divisors (1462457948160).

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

541812480000 is a wasteful number, since it uses less digits than its factorization.

541812480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

Adding to 541812480000 its reverse (84218145), we get a palindrome (541896698145).

The spelling of 541812480000 in words is "five hundred forty-one billion, eight hundred twelve million, four hundred eighty thousand".