541984972800 has 336 divisors, whose sum is σ = 1808718587280. Its totient is φ = 143185674240.

The previous prime is 541984972783. The next prime is 541984972817. The reversal of 541984972800 is 8279489145.

It is an interprime number because it is at equal distance from previous prime (541984972783) and next prime (541984972817).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66965554 + ... + 66973646.

Almost surely, 2^541984972800 is an apocalyptic number.

541984972800 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 541984972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904359293640).

541984972800 is an abundant number, since it is smaller than the sum of its proper divisors (1266733614480).

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

541984972800 is a wasteful number, since it uses less digits than its factorization.

541984972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8241 (or 8212 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 541984972800 in words is "five hundred forty-one billion, nine hundred eighty-four million, nine hundred seventy-two thousand, eight hundred".