427337135506944 has 3840 divisors, whose sum is σ = 1600436505507840. Its totient is φ = 112368549888000.

The previous prime is 427337135506921. The next prime is 427337135506991. The reversal of 427337135506944 is 449605531733724.

427337135506944 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 3 + 7 + 1 + 35 + 506 + 94 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1520772724084 + ... + 1520772724364.

It is an arithmetic number, because the mean of its divisors is an integer number (416780339976).

Almost surely, 2^{427337135506944} 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 427337135506944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800218252753920).

427337135506944 is an abundant number, since it is smaller than the sum of its proper divisors (1173099370000896).

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

427337135506944 is a wasteful number, since it uses less digits than its factorization.

427337135506944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 427337135506944 in words is "four hundred twenty-seven trillion, three hundred thirty-seven billion, one hundred thirty-five million, five hundred six thousand, nine hundred forty-four".