426017341440 has 360 divisors, whose sum is σ = 1487797431120. Its totient is φ = 112760193024.

The previous prime is 426017341427. The next prime is 426017341499. The reversal of 426017341440 is 44143710624.

426017341440 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 173 + 41 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426017341395 and 426017341404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102479842 + ... + 102483998.

It is an arithmetic number, because the mean of its divisors is an integer number (4132770642).

Almost surely, 2^426017341440 is an apocalyptic number.

426017341440 is a gapful number since it is divisible by the number (40) 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 426017341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743898715560).

426017341440 is an abundant number, since it is smaller than the sum of its proper divisors (1061780089680).

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

426017341440 is a wasteful number, since it uses less digits than its factorization.

426017341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4335 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 426017341440 in words is "four hundred twenty-six billion, seventeen million, three hundred forty-one thousand, four hundred forty".