352127041418880 has 3072 divisors, whose sum is σ = 1550119686635520. Its totient is φ = 71688459386880.

The previous prime is 352127041418869. The next prime is 352127041418921. The reversal of 352127041418880 is 88814140721253.

352127041418880 is a `hidden beast` number, since 3 + 5 + 2 + 1 + 2 + 70 + 414 + 1 + 88 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 754019360407 + ... + 754019360873.

It is an arithmetic number, because the mean of its divisors is an integer number (504596252160).

Almost surely, 2^{352127041418880} is an apocalyptic number.

352127041418880 is a gapful number since it is divisible by the number (30) 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 352127041418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775059843317760).

352127041418880 is an abundant number, since it is smaller than the sum of its proper divisors (1197992645216640).

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

352127041418880 is a wasteful number, since it uses less digits than its factorization.

352127041418880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 352127041418880 in words is "three hundred fifty-two trillion, one hundred twenty-seven billion, forty-one million, four hundred eighteen thousand, eight hundred eighty".