541731400056 has 320 divisors, whose sum is σ = 1893296021760. Its totient is φ = 140595264000.

The previous prime is 541731400051. The next prime is 541731400109. The reversal of 541731400056 is 650004137145.

541731400056 is a `hidden beast` number, since 541 + 73 + 1 + 40 + 0 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541731400051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73892311 + ... + 73899641.

It is an arithmetic number, because the mean of its divisors is an integer number (5916550068).

Almost surely, 2^541731400056 is an apocalyptic number.

541731400056 is a gapful number since it is divisible by the number (56) 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 541731400056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946648010880).

541731400056 is an abundant number, since it is smaller than the sum of its proper divisors (1351564621704).

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

541731400056 is a wasteful number, since it uses less digits than its factorization.

541731400056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8848 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 541731400056 in words is "five hundred forty-one billion, seven hundred thirty-one million, four hundred thousand, fifty-six".