427399837444944 has 2400 divisors, whose sum is σ = 1672414378272000. Its totient is φ = 102770570133504.

The previous prime is 427399837444933. The next prime is 427399837444967. The reversal of 427399837444944 is 449444738993724.

427399837444944 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 9 + 9 + 83 + 7 + 44 + 494 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 345513206694 + ... + 345513207930.

It is an arithmetic number, because the mean of its divisors is an integer number (696839324280).

Almost surely, 2^{427399837444944} 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 427399837444944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836207189136000).

427399837444944 is an abundant number, since it is smaller than the sum of its proper divisors (1245014540827056).

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

427399837444944 is a wasteful number, since it uses less digits than its factorization.

427399837444944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1719 counting only the distinct ones).

The product of its digits is 21069103104, while the sum is 81.

The spelling of 427399837444944 in words is "four hundred twenty-seven trillion, three hundred ninety-nine billion, eight hundred thirty-seven million, four hundred forty-four thousand, nine hundred forty-four".