474441141888 has 1280 divisors, whose sum is σ = 1786987319040. Its totient is φ = 121881231360.

The previous prime is 474441141887. The next prime is 474441141893. The reversal of 474441141888 is 888141144474.

474441141888 is a `hidden beast` number, since 4 + 7 + 4 + 441 + 14 + 188 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (474441141887) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4198594120 + ... + 4198594232.

It is an arithmetic number, because the mean of its divisors is an integer number (1396083843).

Almost surely, 2^474441141888 is an apocalyptic number.

474441141888 is a gapful number since it is divisible by the number (48) 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 474441141888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893493659520).

474441141888 is an abundant number, since it is smaller than the sum of its proper divisors (1312546177152).

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

474441141888 is a wasteful number, since it uses less digits than its factorization.

474441141888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its digits is 3670016, while the sum is 54.

The spelling of 474441141888 in words is "four hundred seventy-four billion, four hundred forty-one million, one hundred forty-one thousand, eight hundred eighty-eight".