541341093888 has 416 divisors, whose sum is σ = 1896170630400. Its totient is φ = 149329281024.

The previous prime is 541341093871. The next prime is 541341093929. The reversal of 541341093888 is 888390143145.

541341093888 is a `hidden beast` number, since 54 + 13 + 410 + 93 + 8 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22438120 + ... + 22462232.

Almost surely, 2^541341093888 is an apocalyptic number.

541341093888 is a gapful number since it is divisible by the number (58) 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 541341093888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (948085315200).

541341093888 is an abundant number, since it is smaller than the sum of its proper divisors (1354829536512).

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

541341093888 is a wasteful number, since it uses less digits than its factorization.

541341093888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24182 (or 24154 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 541341093888 in words is "five hundred forty-one billion, three hundred forty-one million, ninety-three thousand, eight hundred eighty-eight".