541422145200 has 240 divisors, whose sum is σ = 1758577506336. Its totient is φ = 142373683200.

The previous prime is 541422145129. The next prime is 541422145219. The reversal of 541422145200 is 2541224145.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32700124 + ... + 32716676.

Almost surely, 2^541422145200 is an apocalyptic number.

541422145200 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 541422145200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879288753168).

541422145200 is an abundant number, since it is smaller than the sum of its proper divisors (1217155361136).

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

541422145200 is a wasteful number, since it uses less digits than its factorization.

541422145200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16952 (or 16941 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 541422145200 its reverse (2541224145), we get a palindrome (543963369345).

The spelling of 541422145200 in words is "five hundred forty-one billion, four hundred twenty-two million, one hundred forty-five thousand, two hundred".