541962229200 has 240 divisors, whose sum is σ = 1988011628160. Its totient is φ = 123632732160.

The previous prime is 541962229139. The next prime is 541962229201. The reversal of 541962229200 is 2922269145.

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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541962229201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4212222 + ... + 4338978.

It is an arithmetic number, because the mean of its divisors is an integer number (8283381784).

Almost surely, 2^541962229200 is an apocalyptic number.

541962229200 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 541962229200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994005814080).

541962229200 is an abundant number, since it is smaller than the sum of its proper divisors (1446049398960).

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

541962229200 is a wasteful number, since it uses less digits than its factorization.

541962229200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127294 (or 127283 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 541962229200 in words is "five hundred forty-one billion, nine hundred sixty-two million, two hundred twenty-nine thousand, two hundred".