426371711405440 has 128 divisors (see below), whose sum is σ = 1073428192742400. Its totient is φ = 161499218761728.

The previous prime is 426371711405389. The next prime is 426371711405461. The reversal of 426371711405440 is 44504117173624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18893427 + ... + 34780813.

It is an arithmetic number, because the mean of its divisors is an integer number (8386157755800).

Almost surely, 2^{426371711405440} is an apocalyptic number.

426371711405440 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 426371711405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536714096371200).

426371711405440 is an abundant number, since it is smaller than the sum of its proper divisors (647056481336960).

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

426371711405440 is a wasteful number, since it uses less digits than its factorization.

426371711405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15889632 (or 15889620 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 49.

The spelling of 426371711405440 in words is "four hundred twenty-six trillion, three hundred seventy-one billion, seven hundred eleven million, four hundred five thousand, four hundred forty".