541832620623840 has 6912 divisors, whose sum is σ = 2629601792213760. Its totient is φ = 104382356520960.

The previous prime is 541832620623839. The next prime is 541832620623841. The reversal of 541832620623840 is 48326026238145.

541832620623840 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 3 + 2 + 6 + 2 + 0 + 623 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (541832620623839) and next prime (541832620623841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541832620623841) by changing a digit.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 7422364666044 + ... + 7422364666116.

It is an arithmetic number, because the mean of its divisors is an integer number (380440074105).

Almost surely, 2^{541832620623840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541832620623840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314800896106880).

541832620623840 is an abundant number, since it is smaller than the sum of its proper divisors (2087769171589920).

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

541832620623840 is a wasteful number, since it uses less digits than its factorization.

541832620623840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 541832620623840 in words is "five hundred forty-one trillion, eight hundred thirty-two billion, six hundred twenty million, six hundred twenty-three thousand, eight hundred forty".